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Finding the Probability for a Range of Values of a Hypergeometric Random Variable

  • 1.

    A bag has 4 green and 6 red balls. Amma draws 3 balls at random without replacing them. Find the probability of drawing at least 2 green balls.

    Answers:

    • 0.97

    • 0.33

    • 0.5

    • 0.8

  • 2.

    A class has 12 boys and 8 girls. Mr. Brown who is in charge of the class chooses 4 students at random to represent their class in a science fair. What is the probability of choosing at least 2 boys?

    Answers:

    • 0.85

    • 0.74

    • 0.94

    • 0.64

  • 3.

    12 out of 20 babies born on the same day in a hospital have the eye color same as their mothers. The doctor paid his visit to 6 mothers before 2 pm. Calculate the probability of visiting at most 4 mothers whose baby's eye color is the same as her.

    Answers:

    • 0.8

    • 0.6

    • 0.4

    • 0.2

  • 4.

    A box contains 16 silver beads and 44 golden beads. Sarah uses 10 beads to make a bracelet for her best friend. Which of the following choices is the probability of using at least 4 silver beads?

    Answers:

    • 0.75

    • 0.85

    • 0.25

    • 0.15

  • 5.

    A refrigerator has 40 cans. 25 of them are strawberry shakes and others are banana shakes. Henry chooses 10 cans at random. Determine the correct probability of choosing at most 5 cans of strawberry shakes.

    Answers:

    • 0.28

    • 0.86

    • 0.09

    • 0.9

  • 6.

    A box has 50 candles. 20 of the candles are scented ones. William sells 10 candles in a day. Find the probability of selling at most 5 scented candles.

    Answers:

    • 0.66

    • 0.86

    • 0.72

    • 0.92

  • 7.

    A bag has 7 green and 8 blue marbles. Liza gifts 4 marbles from the bag to her little cousin. What is the probability of gifting at most 3 green marbles?

    Answers:

    • 0.77

    • 0.67

    • 0.87

    • 0.97

  • 8.

    A small village has 100 houses. 25 of the houses use solar panels to access electricity. John meets 8 people from different houses. Evaluate the probability of meeting at most 3 people who have solar panels at their houses.

    Answers:

    • 0.45

    • 0.90

    • 0.21

    • 0.67

  • 9.

    A box has 40 pairs of gloves. 15 pairs of them are hand-woven. Pixy takes 8 pairs for her cousins. Which of the following options is the probability of taking at least 5 hand-woven pairs?

    Answers:

    • 0.87

    • 0.11

    • 0.08

    • 0.31

  • 10.

    A bakery shop bakes 100 cakes in a day. 40 of the cakes contain cane sugar and the other 60 contain sugar from fruit. Anna buys 10 cakes from the bakery. Identify the correct probability of buying at least 7 cakes baked with cane sugar.

    Answers:

    • 0.09

    • 0.15

    • 0.05

    • 0.37

  • 11.

    A crate has 45 roses and 55 jasmine flowers. A shop owner uses 10 flowers to make a garland. Find the probability of using at most 5 roses.

    Answers:

    • 0.67

    • 0.75

    • 0.87

    • 0.97

  • 12.

    A class has 18 boys and 22 girls. Mr. Smith noted that 5 students from the class got more than 95% in their weekly test. What is the probability of having at least 4 boys?

    Answers:

    • 0.12

    • 0.44

    • 0.33

    • 0.22

  • 13.

    A book shop's best corner has 20 best books. 8 of the books were written by female authors. Jack brings 5 books at home from them. Calculate the probability of bringing at least 3 books written by female authors.

    Answers:

    • 0.3

    • 0.5

    • 0.7

    • 0.1

  • 14.

    A bag has 20 tiles and 12 of them are hand-crafted while others are machine-made. Sarah selects 5 tiles from them. Which of the given choices is the probability of selecting at most 2 hand-crafted tiles?

    Answers:

    • 0.3

    • 0.05

    • 0.95

    • 0.7

  • 15.

    A class of 50 students has 13 athletes. Mr. John gifts pens to 6 different students at random. Choose the correct probability of gifting at most 2 athletes.

    Answers:

    • 0.83

    • 0.68

    • 0.46

    • 0.32

  • 16.

    A basket has 14 apples and 16 bananas. A chef uses 5 fruits from the basket to make pies. Find the probability of using at least 2 apples.

    Answers:

    • 0.8

    • 0.6

    • 0.2

    • 0.4

  • 17.

    12 out of 15 children in a dance class are girls. 5 children of the dance class are younger than 7 years. What is the probability of having at least 4 girls?

    Answers:

    • 0.56

    • 0.86

    • 0.76

    • 0.66

  • 18.

    A box has 10 chocolate and 20 normal cookies. Fiza ate 4 of them. Evaluate the probability of eating at least 2 chocolate cookies.

    Answers:

    • 0.6

    • 0.4

    • 0.8

    • 0.2

  • 19.

    There are 16 females and 19 males in a restaurant. 5 of them are randomly selected. Which of the given options is the probability of having at most 2 females from among those selected?

    Answers:

    • 0.67

    • 0.81

    • 0.59

    • 0.35

  • 20.

    A crate has 10 red towels and 20 white towels. A waitress in a hotel uses 10 towels to make cute teddies. Select the correct probability of using at most 5 red towels.

    Answers:

    • 0.96

    • 0.86

    • 0.04

    • 0.14

  • 21.

    A team of 12 mathematic professors and 13 chemistry professors went to a seminar. 6 professors were rewarded with prizes. Find the probability of rewarding at least 4 mathematic professors.

    Answers:

    • 0.64

    • 0.57

    • 0.21

    • 0.28

  • 22.

    A box has 15 pure silk thread spools. 10 of them are in red color and others are green. Henry's mother designs embroidery on cloth using 4 spools. What is the probability of using at most 3 red spools?

    Answers:

    • 0.35

    • 0.15

    • 0.85

    • 0.65

  • 23.

    40 out of 60 children in an area use online platforms for their study-related doubts. 5 children are randomly selected from this area. Calculate the probability of having from these selected children at most 3 using online platforms for their study-related doubts.

    Answers:

    • 0.24

    • 0.34

    • 0.54

    • 0.44

  • 24.

    There are 4 dentists and 6 attendants in a small clinic. 3 of the staff members won lucky draws. Which one of the following four choices is the probability of having at most 2 dentists?

    Answers:

    • 0.97

    • 0.8

    • 0.66

    • 0.5

  • 25.

    A bag has 8 white and 4 black cards. Mary is playing with her brother. She asks him to draw 6 cards. Determine the correct probability of drawing at least 5 white cards.

    Answers:

    • 0.27

    • 0.72

    • 0.69

    • 0.24

  • 26.

    8 mechanical and 12 computer engineers applied for jobs in a company. 4 of them were selected. Find the probability of selecting at most 2 mechanical engineers.

    Answers:

    • 0.75

    • 0.65

    • 0.95

    • 0.85

  • 27.

    An organization with 50 males workers has 15 married ones. The owner of the organization invites 6 male workers for dinner. What is the probability of inviting at least 3 married ones?

    Answers:

    • 0.59

    • 0.06

    • 0.25

    • 0.9

    • 0.9

  • 28.

    A box has 19 national and 21 international postage stamps. Christine gives 4 stamps from the box to his friend. Evaluate the probability of giving at least 1 national stamp.

    Answers:

    • 0.89

    • 0.27

    • 0.67

    • 0.93

  • 29.

    20 out of 45 students in Mrs. Luiy's class are football players. Mrs. Luiy meets the parents of her 7 students on Monday. Which one of the following four options is the probability of meeting at least 3 parents whose child is a football player?

    Answers:

    • 0.12

    • 0.37

    • 0.02

    • 0.69

  • 30.

    A crate has 60 milk pouches. 20 pouches are of cow milk and the others are of almond milk. Susan buys 4 pouches from the crate. Choose the correct probability of buying at least 2 pouches of cow milk.

    Answers:

    • 0.6

    • 0.2

    • 0.8

    • 0.4

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