# Determining Outcomes For a Simple Event

• 1.

If a single letter is to be randomly chosen from the four letters of the word ABLE, then the probability that this letter will come out to be a vowel is _____.

• {eq}\dfrac{1}{3} {/eq}

• {eq}\dfrac{1}{4} {/eq}

• {eq}\dfrac{1}{2} {/eq}

• 1

• 2.

If two letters are to be simultaneously chosen from the four letters of the word ABLE, find the probability that both of the letters chosen will be vowels.

• {eq}\dfrac{1}{6} {/eq}

• {eq}\dfrac{1}{3} {/eq}

• {eq}\dfrac{1}{4} {/eq}

• {eq}\dfrac{1}{2} {/eq}

• 3.

Two letters will be drawn one after the other without replacement from the three letters of the word ABE. Find the probability that both letters chosen will be consonants.

• 1

• {eq}\dfrac{2}{3} {/eq}

• {eq}\dfrac{1}{3} {/eq}

• 0

• 4.

Two letters are to be drawn simultaneously from the three letters of the word ABE. Find the probability that both letters chosen will be vowels.

• {eq}\dfrac{1}{3} {/eq}

• 0

• 1

• {eq}\dfrac{2}{3} {/eq}

• 5.

If two letters are to be randomly chosen one at a time with replacement from the three letters of the word ABE, what it the probability that both letters chosen will be vowels?

• {eq}\dfrac{2}{9} {/eq}

• {eq}\dfrac{1}{3} {/eq}

• {eq}\dfrac{4}{9} {/eq}

• {eq}\dfrac{2}{3} {/eq}

• 6.

A blue (B), gray (G), and mauve (M) ball were placed in a bowl . One ball is to be randomly drawn from this bowl. The probability that the color of the ball drawn from the bowl will be mauve is _____.

• {eq}\dfrac{2}{3} {/eq}

• {eq}\dfrac{1}{3} {/eq}

• 1

• {eq}\dfrac{1}{2} {/eq}

• 7.

A blue (B), gray (G), and mauve (M) ball were placed in a bowl. Two balls are to be simultaneously and randomly drawn from this bowl. What is the probability that both of the balls drawn from the bowl will not be the mauve ball?

• {eq}\dfrac{2}{3} {/eq}

• {eq}\dfrac{1}{3} {/eq}

• {eq}\dfrac{1}{6} {/eq}

• {eq}\dfrac{1}{2} {/eq}

• 8.

One card is to be randomly drawn from four cards: ace of hearts (Ah), ace of spades (As), ace of diamonds (Ad), and ace of clubs (Ac). What is the probability that the card drawn will be a face card?

• 1

• {eq}\dfrac{1}{2} {/eq}

• 0

• {eq}\dfrac{1}{4} {/eq}

• 9.

Two cards are randomly and simultaneously drawn from four cards: ace of hearts (Ah), ace of spades (As), ace of diamonds (Ad), and ace of clubs (Ac). Find the probability that both cards drawn will be red-suited.

• {eq}\dfrac{1}{2} {/eq}

• {eq}\dfrac{1}{6} {/eq}

• {eq}\dfrac{1}{3} {/eq}

• {eq}\dfrac{1}{12} {/eq}

• 10.

Three cards are to be randomly and simultaneously drawn from four cards: ace of hearts (Ah), ace of spades (As), ace of diamonds (Ad), and ace of clubs (Ac). What is the probability that the three cards drawn will not include the ace of clubs (Ac)?

• {eq}\dfrac{1}{3} {/eq}

• {eq}\dfrac{1}{4} {/eq}

• {eq}\dfrac{1}{24} {/eq}

• {eq}\dfrac{1}{6} {/eq}

• 11.

Two letters are to be drawn one after the other without replacement from the two letters of the word AM. Find the probability that the first letter drawn will be an A.

• 1

• {eq}\dfrac{1}{4} {/eq}

• {eq}\dfrac{1}{2} {/eq}

• {eq}\dfrac{1}{8} {/eq}

• 12.

Two letters are to be drawn one after the other with replacement from the two letters of the word AM. What is the probability that both letters drawn will be an M?

• {eq}\dfrac{1}{2} {/eq}

• {eq}\dfrac{1}{4} {/eq}

• {eq}\dfrac{3}{4} {/eq}

• {eq}\dfrac{1}{8} {/eq}

• 13.

A bowl contains two identical blue balls and a red ball. Two balls are to be randomly and simultaneously drawn from the bowl. Find the probability that both balls drawn will be blue.

• {eq}\dfrac{4}{9} {/eq}

• {eq}\dfrac{2}{3} {/eq}

• {eq}\dfrac{2}{9} {/eq}

• {eq}\dfrac{1}{3} {/eq}

• 14.

A bowl contains a blue ball and a red ball. Two balls are to be randomly drawn one at a time and without replacement from the bowl. Find the probability that the first ball drawn will be blue and the second ball drawn will be red.

• {eq}\dfrac{1}{2} {/eq}

• 0

• 1

• {eq}\dfrac{1}{4} {/eq}

• 15.

An experiment consists in randomly choosing one letter from the set {eq}\{x,y,z\} {/eq}. What is the probability that the letter chosen will turn out to be z?

• {eq}\dfrac{1}{3} {/eq}

• 1

• {eq}\dfrac{2}{3} {/eq}

• {eq}\dfrac{1}{6} {/eq}

• 16.

An experiment consists in randomly and simultaneously choosing two letters from the set {eq}\{x,y,z\} {/eq}. The probability that the two letters chosen will turn out to be y and z is _____.

• {eq}\dfrac{1}{6} {/eq}

• {eq}\dfrac{1}{3} {/eq}

• {eq}\dfrac{2}{3} {/eq}

• {eq}\dfrac{1}{2} {/eq}

• 17.

The probability for obtaining a 4 in rolling a regular tetrahedron whose four faces have been labelled 1, 2, 3, and 4, one number to a face, is given by _____.

• {eq}\dfrac{1}{4} {/eq}

• {eq}\dfrac{1}{6} {/eq}

• {eq}\dfrac{1}{5} {/eq}

• {eq}\dfrac{1}{3} {/eq}

• 18.

A number is to be randomly chosen from the set of possible remainders obtained when an integer is divided by 7. Find the probability that the number chosen will be 0.

• {eq}\dfrac{1}{7} {/eq}

• {eq}\dfrac{1}{10} {/eq}

• {eq}\dfrac{1}{6} {/eq}

• {eq}\dfrac{1}{9} {/eq}

• 19.

A number is to be randomly chosen from the set of all possible remainders obtained when an integer is divided by 3. What is the probability that the number chosen is 2?

• 0

• {eq}\dfrac{1}{3} {/eq}

• {eq}\dfrac{1}{2} {/eq}

• {eq}\dfrac{1}{4} {/eq}

• 20.

If a student randomly chooses a one-digit counting number from the set of all one-digit counting numbers, the probability that the number chosen will turn out to be 8 is _____.

• {eq}\dfrac{1}{10} {/eq}

• {eq}\dfrac{1}{8} {/eq}

• {eq}\dfrac{8}{9} {/eq}

• {eq}\dfrac{1}{9} {/eq}

• 21.

If one randomly chooses a month from the 12 months of the year, the probability that the month chosen will be June is _____.

• {eq}\dfrac{1}{2} {/eq}

• {eq}\dfrac{1}{7} {/eq}

• {eq}\dfrac{1}{6} {/eq}

• {eq}\dfrac{1}{12} {/eq}

• 22.

If one randomly chooses a month from the 12 months of the year, the probability that the name of the month will end with the letter T is _____.

• 0

• {eq}\dfrac{1}{12} {/eq}

• {eq}\dfrac{2}{3} {/eq}

• {eq}\dfrac{1}{8} {/eq}

• 23.

If one is to randomly choose a month from among the 12 months of the year, the probability that the name of the month will start with the letter N is _____.

• {eq}\dfrac{11}{12} {/eq}

• {eq}\dfrac{1}{11} {/eq}

• {eq}\dfrac{1}{12} {/eq}

• 0

• 24.

A student randomly chooses one of the seven days of a week. What is the probability that the day chosen is Friday?

• {eq}\dfrac{1}{7} {/eq}

• {eq}\dfrac{1}{5} {/eq}

• {eq}\dfrac{1}{4} {/eq}

• {eq}\dfrac{1}{6} {/eq}

• 25.

A student it to randomly choose one color from among the six colors (red, orange, yellow, green, blue, and violet) in the visible spectrum of light. The probability that the color chosen will be green is _____.

• {eq}\dfrac{1}{3} {/eq}

• {eq}\dfrac{1}{4} {/eq}

• {eq}\dfrac{1}{5} {/eq}

• {eq}\dfrac{1}{6} {/eq}

• 26.

A teacher gave a five-item multiple choice quiz in which each item had four answer choices to choose from and only one answer choice is correct. Each item is worth one point if the answer choice chosen for that item is correct, and zero otherwise. Assuming no blank responses, what is the probability that a student who randomly guesses in all the five items will get a perfect score?

• {eq}\dfrac{1}{1024} {/eq}

• {eq}\dfrac{1}{256} {/eq}

• {eq}\dfrac{1}{64} {/eq}

• {eq}\dfrac{1}{512} {/eq}

• 27.

A teacher gave a four-item multiple choice quiz in which each item had five answer choices to choose from and only one answer choice is correct. Each item is worth one point if the answer choice chosen for that item is correct, and zero otherwise. Assuming no blank responses, what is the probability that a student who randomly guesses in all the four items will get a perfect score?

• {eq}\dfrac{1}{1250} {/eq}

• {eq}\dfrac{1}{625} {/eq}

• {eq}\dfrac{1}{125} {/eq}

• {eq}\dfrac{1}{25} {/eq}

• 28.

What is the probability that a student correctly guesses the correct answer to a one-item True-or-False (T/F) exam?

• {eq}\dfrac{1}{2} {/eq}

• 0

• {eq}\dfrac{1}{4} {/eq}

• 1

• 29.

What is the probability that a student will correctly guess all the right answers in a two-item True-or-False (T/F) exam?

• {eq}\dfrac{1}{2} {/eq}

• {eq}\dfrac{1}{4} {/eq}

• {eq}\dfrac{1}{8} {/eq}

• {eq}\dfrac{1}{16} {/eq}

• 30.

Find the probability that a student who is randomly guessing in a three-item True-or-False (T/F) exam will get a perfect score?