# 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.

• 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?

• 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.

• 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?

• 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.

• 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.

• 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?

• 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.

• 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?

• 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.

• 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.

• 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?

• 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.

• 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?

• 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.

• 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.

• 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?

• 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.

• 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?

• 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.

• 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.

• 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?

• 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.

• 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?

• 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.

• 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.

• 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?

• 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.

• 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?

• 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.