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Calculating Experimental Probabilities

  • 1.

    Carly flips a fair coin 100 times and got heads 54 times. Calculate and explain the experimental probability of getting heads in this scenario.

    Answers:

    • Divide the total amount of flips by the amount of times the result was heads to get the experimental probability of {eq}\dfrac{27}{50} {/eq}.

    • Divide the amount of times the result was heads by the total amount of flips to get the experimental probability of {eq}\dfrac{50}{27} {/eq}.

    • Divide the amount of times the result was heads by the total amount of flips to get the experimental probability of {eq}\dfrac{27}{50} {/eq}.

    • Divide the total amount of flips by the amount of times the result was heads to get the experimental probability of {eq}\dfrac{50}{27} {/eq}.

  • 2.

    Jerry rolls a fair 6-sided die 60 times and rolls a 2 a total of 8 times. Demonstrate how to compute the experimental probability of rolling a 2 in this scenario.

    Answers:

    • Divide the total amount of die rolls by the amount of times the result was a 2 to get the experimental probability of {eq}\dfrac{15}{2} {/eq}.

    • Divide the amount of times the result was a 2 by the total amount of die rolls to get the experimental probability of {eq}\dfrac{2}{15} {/eq}.

    • Divide the amount of times the result was a 2 by the total amount of die rolls to get the experimental probability of {eq}\dfrac{15}{2} {/eq}.

    • Divide the total amount of die rolls by the amount of times the result was a 2 to get the experimental probability of {eq}\dfrac{2}{15} {/eq}.

  • 3.

    Sharon picks a card from a fair deck of four suits 40 times and pulls a card in the suit of hearts 12 times. Based on these results, calculate and explain the experimental probability of pulling a heart from the deck in this scenario.

    Answers:

    • Divide the total amount of card picks by the times the result was the suit of hearts to get the experimental probability of {eq}\dfrac{10}{3} {/eq}.

    • Divide the amount of times the result was the suit of hearts by the total amount of card picks to get the experimental probability of {eq}\dfrac{10}{3} {/eq}.

    • Divide the total amount of card picks by the times the result was the suit of hearts to get the experimental probability of {eq}\dfrac{3}{10} {/eq}.

    • Divide the amount of times the result was the suit of hearts by the total amount of card picks to get the experimental probability of {eq}\dfrac{3}{10} {/eq}.

  • 4.

    George spins a spinner divided into three equal sections of red, blue, and green 30 times, and the spinner results in blue a total of 11 times . From these results, demonstrate how to compute the experimental probability of the spinner landing on blue in this scenario.

    Answers:

    • Divide the total amount of spins by the times the result was blue to get the experimental probability of {eq}\dfrac{30}{11} {/eq}.

    • Divide the amount of times the result was blue by the total amount of spins to get the experimental probability of {eq}\dfrac{11}{30} {/eq}.

    • Divide the amount of times the result was blue by the total amount of spins to get the experimental probability of {eq}\dfrac{30}{11} {/eq}.

    • Divide the total amount of spins by the times the result was blue to get the experimental probability of {eq}\dfrac{11}{30} {/eq}.

  • 5.

    Kelly places 5 marbles colored red, yellow, orange, black, and white into a bag and then randomly picks a marble from the bag 50 times (putting the marble back in the bag after each pick). The white marble is picked 9 times. What is the experimental probability of picking a white marble, and how would it be calculated in this scenario?

    Answers:

    • Divide the amount of times the result was the white marble by the total amount of picks to get the experimental probability of {eq}\dfrac{9}{50} {/eq}.

    • Divide the total amount of picks by the times the result was the white marble to get the experimental probability of {eq}\dfrac{50}{9} {/eq}.

    • Divide the amount of times the result was the white marble by the total amount of picks to get the experimental probability of {eq}\dfrac{50}{9} {/eq}.

    • Divide the total amount of picks by the times the result was the white marble to get the experimental probability of {eq}\dfrac{9}{50} {/eq}.

  • 6.

    Charlie flips a fair coin 75 times and got tails 40 times. Calculate and explain the experimental probability of getting tails in this scenario.

    Answers:

    • Divide the total amount of flips by the amount of times the result was tails to get the experimental probability of {eq}\dfrac{15}{8} {/eq}.

    • Divide the amount of times the result was tails by the total amount of flips to get the experimental probability of {eq}\dfrac{8}{15} {/eq}.

    • Divide the total amount of flips by the amount of times the result was tails to get the experimental probability of {eq}\dfrac{8}{15} {/eq}.

    • Divide the amount of times the result was tails by the total amount of flips to get the experimental probability of {eq}\dfrac{15}{8} {/eq}.

  • 7.

    Lauren rolls a fair 6-sided die 120 times and rolls a 3 a total of 22 times. Demonstrate how to compute the experimental probability of rolling a 3 in this scenario.

    Answers:

    • Divide the amount of times the result was a 3 by the total amount of die rolls to get the experimental probability of {eq}\dfrac{11}{60} {/eq}.

    • Divide the amount of times the result was a 3 by the total amount of die rolls to get the experimental probability of {eq}\dfrac{60}{11} {/eq}.

    • Divide the total amount of die rolls by the amount of times the result was a 3 to get the experimental probability of {eq}\dfrac{60}{11} {/eq}.

    • Divide the total amount of die rolls by the amount of times the result was a 3 to get the experimental probability of {eq}\dfrac{11}{60} {/eq}.

  • 8.

    Gene picks a card from a fair deck of four suits 80 times and pulls a card in the suit of spades 19 times. Based on these results, calculate and explain the experimental probability of pulling a spade from the deck in this scenario.

    Answers:

    • Divide the total amount of card picks by the times the result was the suit of spades to get the experimental probability of {eq}\dfrac{80}{19} {/eq}.

    • Divide the amount of times the result was the suit of spades by the total amount of card picks to get the experimental probability of {eq}\dfrac{19}{80} {/eq}.

    • Divide the total amount of card picks by the times the result was the suit of spades to get the experimental probability of {eq}\dfrac{19}{80} {/eq}.

    • Divide the amount of times the result was the suit of spades by the total amount of card picks to get the experimental probability of {eq}\dfrac{80}{19} {/eq}.

  • 9.

    Carlos spins a spinner divided into three equal sections of yellow, brown, and green 60 times, and the spinner results in brown a total of 25 times . From these results, demonstrate how to compute the experimental probability of the spinner landing on brown in this scenario.

    Answers:

    • Divide the total amount of spins by the times the result was brown to get the experimental probability of {eq}\dfrac{5}{12} {/eq}.

    • Divide the total amount of spins by the times the result was brown to get the experimental probability of {eq}\dfrac{12}{5} {/eq}.

    • Divide the amount of times the result was brown by the total amount of spins to get the experimental probability of {eq}\dfrac{12}{5} {/eq}.

    • Divide the amount of times the result was brown by the total amount of spins to get the experimental probability of {eq}\dfrac{5}{12} {/eq}.

  • 10.

    Aaron places 5 marbles colored green, yellow, orange, purple, and white into a bag and then randomly picks a marble from the bag 100 times (putting the marble back in the bag after each pick). The yellow marble is picked 30 times. What is the experimental probability of getting a yellow marble, and how would it be calculated in this scenario?

    Answers:

    • Divide the amount of times the result was the yellow marble by the total amount of picks to get the experimental probability of {eq}\dfrac{3}{10} {/eq}.

    • Divide the total amount of picks by the times the result was the yellow marble to get the experimental probability of {eq}\dfrac{3}{10} {/eq}.

    • Divide the amount of times the result was the yellow marble by the total amount of picks to get the experimental probability of {eq}\dfrac{10}{3} {/eq}.

    • Divide the total amount of picks by the times the result was the yellow marble to get the experimental probability of {eq}\dfrac{10}{3} {/eq}.

  • 11.

    Rachel flips a fair coin 200 times and got heads 110 times. Calculate and explain the experimental probability of getting heads in this scenario.

    Answers:

    • Divide the amount of times the result was heads by the total amount of flips to get the experimental probability of {eq}\dfrac{20}{11} {/eq}.

    • Divide the amount of times the result was heads by the total amount of flips to get the experimental probability of {eq}\dfrac{11}{20} {/eq}.

    • Divide the total amount of flips by the amount of times the result was heads to get the experimental probability of {eq}\dfrac{20}{11} {/eq}.

    • Divide the total amount of flips by the amount of times the result was heads to get the experimental probability of {eq}\dfrac{11}{20} {/eq}.

  • 12.

    Kyle rolls a fair 6-sided die 30 times and rolls a 4 a total of 5 times. Demonstrate how to compute the experimental probability of rolling a 4 in this scenario.

    Answers:

    • Divide the total amount of die rolls by the amount of times the result was a 4 to get the experimental probability of {eq}6 {/eq}.

    • Divide the total amount of die rolls by the amount of times the result was a 4 to get the experimental probability of {eq}\dfrac{1}{6} {/eq}.

    • Divide the amount of times the result was a 4 by the total amount of die rolls to get the experimental probability of {eq}\dfrac{1}{6} {/eq}.

    • Divide the amount of times the result was a 4 by the total amount of die rolls to get the experimental probability of {eq}6 {/eq}.

  • 13.

    Megan picks a card from a fair deck of four suits 120 times and pulls a card in the suit of diamonds 33 times. Based on these results, calculate and explain the experimental probability of pulling a diamond from the deck in this scenario.

    Answers:

    • Divide the total amount of card picks by the times the result was the suit of diamonds to get the experimental probability of {eq}\dfrac{40}{11} {/eq}.

    • Divide the total amount of card picks by the times the result was the suit of diamonds to get the experimental probability of {eq}\dfrac{11}{40} {/eq}.

    • Divide the amount of times the result was the suit of diamonds by the total amount of card picks to get the experimental probability of {eq}\dfrac{11}{40} {/eq}.

    • Divide the amount of times the result was the suit of diamonds by the total amount of card picks to get the experimental probability of {eq}\dfrac{40}{11} {/eq}.

  • 14.

    Larry spins a spinner divided into 3 equal sections of orange, blue, and yellow 90 times and the spinner results in orange a total of 24 times . From these results, demonstrate how to compute the experimental probability of the spinner landing on orange in this scenario.

    Answers:

    • Divide the amount of times the result was orange by the total amount of spins to get the experimental probability of {eq}\dfrac{15}{4} {/eq}.

    • Divide the total amount of spins by the times the result was orange to get the experimental probability of {eq}\dfrac{4}{15} {/eq}.

    • Divide the total amount of spins by the times the result was orange to get the experimental probability of {eq}\dfrac{15}{4} {/eq}.

    • Divide the amount of times the result was orange by the total amount of spins to get the experimental probability of {eq}\dfrac{4}{15} {/eq}.

  • 15.

    Amanda places 5 marbles colored blue, pink, orange, black, and white into a bag and then randomly picks a marble from the bag 150 times (putting the marble back in the bag after each pick). The pink marble is picked 40 times. What is the experimental probability of picking a pink marble, and how would it be calculated in this scenario?

    Answers:

    • Divide the total amount of picks by the times the result was the pink marble to get the experimental probability of {eq}\dfrac{4}{15} {/eq}.

    • Divide the total amount of picks by the times the result was the pink marble to get the experimental probability of {eq}\dfrac{15}{4} {/eq}.

    • Divide the amount of times the result was the pink marble by the total amount of picks to get the experimental probability of {eq}\dfrac{4}{15} {/eq}.

    • Divide the amount of times the result was the pink marble by the total amount of picks to get the experimental probability of {eq}\dfrac{15}{4} {/eq}.

  • 16.

    Julie flips a fair coin 80 times and got tails 32 times. Calculate and explain the experimental probability of getting tails in this scenario.

    Answers:

    • Divide the total amount of flips by the amount of times the result was tails to get the experimental probability of {eq}\dfrac{2}{5} {/eq}.

    • Divide the amount of times the result was tails by the total amount of flips to get the experimental probability of {eq}\dfrac{2}{5} {/eq}.

    • Divide the total amount of flips by the amount of times the result was tails to get the experimental probability of {eq}\dfrac{5}{2} {/eq}.

    • Divide the amount of times the result was tails by the total amount of flips to get the experimental probability of {eq}\dfrac{5}{2} {/eq}.

  • 17.

    Andrew rolls a fair 6-sided die 180 times and rolls a 6 a total of 28 times. Demonstrate how to compute the experimental probability of rolling a 6 in this scenario.

    Answers:

    • Divide the total amount of die rolls by the amount of times the result was a 6 to get the experimental probability of {eq}\dfrac{8}{45} {/eq}.

    • Divide the total amount of die rolls by the amount of times the result was a 6 to get the experimental probability of {eq}\dfrac{7}{45} {/eq}.

    • Divide the amount of times the result was a 6 by the total amount of die rolls to get the experimental probability of {eq}\dfrac{7}{45} {/eq}.

    • Divide the amount of times the result was a 6 by the total amount of die rolls to get the experimental probability of {eq}\dfrac{8}{45} {/eq}.

  • 18.

    Thomas picks a card from a fair deck of four suits 160 times and pulls a card in the suit of clubs 40 times. Based on these results, calculate and explain the experimental probability of pulling a club in this scenario.

    Answers:

    • Divide the amount of times the result was the suit of clubs by the total amount of card picks to get the experimental probability of {eq}\dfrac{1}{4} {/eq}.

    • Divide the total amount of card picks by the times the result was the suit of clubs to get the experimental probability of {eq}4 {/eq}.

    • Divide the amount of times the result was the suit of clubs by the total amount of card picks to get the experimental probability of {eq}4 {/eq}.

    • Divide the total amount of card picks by the times the result was the suit of clubs to get the experimental probability of {eq}\dfrac{1}{4} {/eq}.

  • 19.

    Harry spins a spinner divided into three equal sections of red, blue, and green 15 times and the spinner results in red a total of 2 times . From these results, demonstrate how to compute the experimental probability of the spinner landing on red in this scenario.

    Answers:

    • Divide the total amount of spins by the times the result was red to get the experimental probability of {eq}\dfrac{15}{2} {/eq}.

    • Divide the amount of times the result was red by the total amount of spins to get the experimental probability of {eq}\dfrac{2}{15} {/eq}.

    • Divide the amount of times the result was red by the total amount of spins to get the experimental probability of {eq}\dfrac{15}{2} {/eq}.

    • Divide the total amount of spins by the times the result was red to get the experimental probability of {eq}\dfrac{2}{15} {/eq}.

  • 20.

    Mary places 5 marbles colored red, yellow, orange, black, and white into a bag and then randomly picks a marble from the bag 75 times (putting the marble back in the bag after each pick). The black marble is picked 20 times. What is the experimental probability of picking a black marble, and how would it be calculated in this scenario?

    Answers:

    • Divide the amount of times the result was the black marble by the total amount of picks to get the experimental probability of {eq}\dfrac{4}{15} {/eq}.

    • Divide the total amount of picks by the times the result was the black marble to get the experimental probability of {eq}\dfrac{1}{3} {/eq}.

    • Divide the amount of times the result was the black marble by the total amount of picks to get the experimental probability of {eq}\dfrac{1}{3} {/eq}.

    • Divide the total amount of picks by the times the result was the black marble to get the experimental probability of {eq}\dfrac{4}{15} {/eq}.

  • 21.

    Ashley flips a fair coin 300 times and the result was heads 152 times. Calculate and explain the experimental probability of getting heads in this scenario.

    Answers:

    • Divide the total amount of flips by the amount of times the result was heads to get the experimental probability of {eq}\dfrac{75}{38} {/eq}.

    • Divide the total amount of flips by the amount of times the result was heads to get the experimental probability of {eq}\dfrac{38}{75} {/eq}.

    • Divide the amount of times the result was heads by the total amount of flips to get the experimental probability of {eq}\dfrac{38}{75} {/eq}.

    • Divide the amount of times the result was heads by the total amount of flips to get the experimental probability of {eq}\dfrac{75}{38} {/eq}.

  • 22.

    Katie rolls a fair 6-sided die 90 times and rolls a 5 a total of 16 times. Demonstrate how to compute the experimental probability of rolling a 5 in this scenario.

    Answers:

    • Divide the amount of times the result was a 5 by the total amount of die rolls to get the experimental probability of {eq}\dfrac{1}{5} {/eq}.

    • Divide the amount of times the result was a 5 by the total amount of die rolls to get the experimental probability of {eq}\dfrac{8}{45} {/eq}.

    • Divide the total amount of die rolls by the amount of times the result was a 5 to get the experimental probability of {eq}\dfrac{8}{45} {/eq}.

    • Divide the total amount of die rolls by the amount of times the result was a 5 to get the experimental probability of {eq}\dfrac{1}{5} {/eq}.

  • 23.

    Kevin picks a card from a fair deck of four suits 60 times and pulls a card in the suit of hearts 14 times. Based on these results, calculate and explain the experimental probability of pulling a heart from the deck in this scenario.

    Answers:

    • Divide the amount of times the result was the suit of hearts by the total amount of card picks to get the experimental probability of {eq}\dfrac{7}{30} {/eq}.

    • Divide the amount of times the result was the suit of hearts by the total amount of card picks to get the experimental probability of {eq}\dfrac{30}{7} {/eq}.

    • Divide the total amount of card picks by the times the result was the suit of hearts to get the experimental probability of {eq}\dfrac{7}{30} {/eq}.

    • Divide the total amount of card picks by the times the result was the suit of hearts to get the experimental probability of {eq}\dfrac{30}{7} {/eq}.

  • 24.

    Arnold spins a spinner divided into three equal sections of red, white, and blue 45 times and the spinner results in blue a total of 18 times . From these results, demonstrate how to compute the experimental probability of the spinner landing on blue in this scenario.

    Answers:

    • Divide the total amount of spins by the times the result was blue to get the experimental probability of {eq}\dfrac{2}{5} {/eq}.

    • Divide the amount of times the result was blue by the total amount of spins to get the experimental probability of {eq}\dfrac{3}{5} {/eq}.

    • Divide the total amount of spins by the times the result was blue to get the experimental probability of {eq}\dfrac{3}{5} {/eq}.

    • Divide the amount of times the result was blue by the total amount of spins to get the experimental probability of {eq}\dfrac{2}{5} {/eq}.

  • 25.

    Kathy places 5 marbles colored blue, yellow, green, black, and white into a bag and then randomly picks a marble from the bag 25 times (putting the marble back in the bag after each pick). The green marble is picked 6 times. What is the experimental probability of choosing a green marble, and how would it be calculated in this scenario?

    Answers:

    • Divide the amount of times the result was the green marble by the total amount of picks to get the experimental probability of {eq}\dfrac{6}{25} {/eq}.

    • Divide the total amount of picks by the times the result was the green marble to get the experimental probability of {eq}\dfrac{25}{6} {/eq}.

    • Divide the total amount of picks by the times the result was the green marble to get the experimental probability of {eq}\dfrac{6}{25} {/eq}.

    • Divide the amount of times the result was the green marble by the total amount of picks to get the experimental probability of {eq}\dfrac{25}{6} {/eq}.

  • 26.

    Caroline flips a fair coin 120 times and the result was tails 55 times. Calculate and explain the experimental probability of getting tails in this scenario.

    Answers:

    • Divide the total amount of flips by the amount of times the result was tails to get the experimental probability of {eq}\dfrac{11}{24} {/eq}.

    • Divide the total amount of flips by the amount of times the result was tails to get the experimental probability of {eq}\dfrac{1}{2} {/eq}.

    • Divide the amount of times the result was tails by the total amount of flips to get the experimental probability of {eq}\dfrac{11}{24} {/eq}.

    • Divide the amount of times the result was tails by the total amount of flips to get the experimental probability of {eq}\dfrac{1}{2} {/eq}.

  • 27.

    Connor rolls a fair 6-sided die 100 times and rolls a 1 a total of 15 times. Demonstrate how to compute the experimental probability of rolling a 1 in this scenario.

    Answers:

    • Divide the total amount of die rolls by the amount of times the result was a 1 to get the experimental probability of {eq}\dfrac{3}{20} {/eq}.

    • Divide the amount of times the result was a 1 by the total amount of die rolls to get the experimental probability of {eq}\dfrac{1}{4} {/eq}.

    • Divide the amount of times the result was a 1 by the total amount of die rolls to get the experimental probability of {eq}\dfrac{3}{20} {/eq}.

    • Divide the total amount of die rolls by the amount of times the result was a 1 to get the experimental probability of {eq}\dfrac{1}{4} {/eq}.

  • 28.

    Mason picks a card from a fair deck of four suits 200 times and pulls a card in the suit of diamonds 60 times. Based on these results, calculate and explain the experimental probability of pulling a diamond from the deck in this scenario.

    Answers:

    • Divide the total amount of card picks by the times the result was the suit of diamonds to get the experimental probability of {eq}\dfrac{3}{10} {/eq}.

    • Divide the total amount of card picks by the times the result was the suit of diamonds to get the experimental probability of {eq}\dfrac{1}{3} {/eq}.

    • Divide the amount of times the result was the suit of diamonds by the total amount of card picks to get the experimental probability of {eq}\dfrac{1}{3} {/eq}.

    • Divide the amount of times the result was the suit of diamonds by the total amount of card picks to get the experimental probability of {eq}\dfrac{3}{10} {/eq}.

  • 29.

    Jessica spins a spinner divided into three equal sections of black, blue, and white 60 times, and the spinner results in white a total of 21 times . From these results, demonstrate how to compute the experimental probability of the spinner landing on white in this scenario.

    Answers:

    • Divide the amount of times the result was white by the total amount of spins to get the experimental probability of {eq}\dfrac{7}{20} {/eq}.

    • Divide the total amount of spins by the times the result was white to get the experimental probability of {eq}\dfrac{2}{5} {/eq}.

    • Divide the total amount of spins by the times the result was white to get the experimental probability of {eq}\dfrac{7}{20} {/eq}.

    • Divide the amount of times the result was white by the total amount of spins to get the experimental probability of {eq}\dfrac{2}{5} {/eq}.

  • 30.

    Seth places 5 marbles colored purple, yellow, green, pink, and white into a bag and then randomly picks a marble from the bag 75 times (putting the marble back in the bag after each pick). The purple marble is picked 18 times. What is the experimental probability of picking a purple marble, and how would it be calculated in this scenario?

    Answers:

    • Divide the total amount of picks by the times the result was the purple marble to get the experimental probability of {eq}\dfrac{7}{25} {/eq}.

    • Divide the total amount of picks by the times the result was the purple marble to get the experimental probability of {eq}\dfrac{6}{25} {/eq}.

    • Divide the amount of times the result was the purple marble by the total amount of picks to get the experimental probability of {eq}\dfrac{7}{25} {/eq}.

    • Divide the amount of times the result was the purple marble by the total amount of picks to get the experimental probability of {eq}\dfrac{6}{25} {/eq}.

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