Lesson Topics Discussion Quiz: Class Homework |
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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