Quiz At Home

Title: Probability

Grade Lesson s6-l3

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: at Home

Id Name Note

1

You have a bag containing 10 red marbles, 8 blue marbles, and 6 green marbles. If you randomly select 2 marbles from the bag without replacement, what is the probability that both selected marbles are blue?

A) \$8/(69)\$

B) \$9/(67)\$

C) \$6/(67)\$

D) \$7/(69)\$

2

A bag contains 5 red marbles and 3 blue marbles. Two marbles are drawn from the bag without replacement. What is the probability that both marbles drawn are red?

A) 0.31

B) 0.35

C) 0.27

D) .29

3

You have a bag containing 5 red marbles and 3 green marbles. If you draw two marbles from the bag without replacement, what is the probability of getting a red marble on the first draw and a green marble on the second draw?

A) 0.41

B) 0.32

C) 0.26

D) 0.42

4

You have a standard deck of 52 playing cards. What is the probability of drawing a red card (hearts or diamonds) followed by a black card (clubs or spades) without replacement?

A) 0.25

B) 0.35

C) 0.32

D) 0.28

5

Two six-sided dice are rolled. What is the probability that their sum equals 7?

A) \$5/6\$

B) \$1/6\$

C) \$2/3\$

D) \$1/3\$

6

In a group of 23 people, what is the probability that at least two individuals share the same birthday? Assume there are 365 equally likely birthdays.

A) 0.5

B) 0.7

C) 0.8

D) 0.9

7

You have two boxes: Box A contains 3 red balls and 2 green balls. Box B contains 1 red ball and 4 green balls. You randomly select one of the boxes and then randomly draw a ball from it. If you draw a red ball, what is the probability that you selected it from Box A?

A) \$5/4\$

B) \$1/4\$

C) \$7/4\$

D) \$3/4\$

8

A game involves rolling a fair six-sided die. If you roll an odd number, you win $10; if you roll an even number, you lose $5. What is the expected value of playing this game?

A) $4.32

B) $2.14

C) $2.50

D) $3.46

9

In a certain community, 60% of the people are women and 40% are men. Of the women, 50% have brown hair, while 70% of the men have brown hair. If a randomly chosen person has brown hair, what is the probability that this person is a woman?

A) 0.62

B) 0.51

C) 0.58

D) 0.68

10

Three fair six-sided dice are rolled. What is the probability that all three dice show the same number?

A) \$1/(18)\$

B) \$1/(12)\$

C) \$3/(36)\$

D) \$1/(36)\$

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