Math 12 Probability Practice Test

Math 12 Probability Practice Test

1. 40% of people can roll their tongue, and 10% of people surveyed had red hair.

a) What is the probability of someone having red hair and having the ability to roll their tongue?

b) In a random sample of six people, what is the probability that at least five of them can roll their tongue?

2. A bridge hand is made up of 13 cards from a regular 52 card deck.

a) what is the probability that a player has three aces in his hand?

b) What is the probability that a player does not have a face card or an ace in his hand?

3. a) Draw a Venn diagram to represent the following information:

28% of Canadians don’t watch hockey at all

60% of Canadians follow the Canucks

52% of Canadians follow the Maple leafs

b) What percentage of Canadians follow both teams?

4. Define the following terms and give an example of each:

a) Dependent events

b) Mutually exclusive events

5. A bag contains 8 white balls and 5 red balls. What is the probability of:

a) drawing 3 white balls with your first three attempts, without replacement?

b) drawing 15 balls, replacing the ball each time and drawing out exactly 9 red balls?

6. Answer the following using the Venn diagram:

a)

b)

c)

d)

e)

f)

g)

7. A five person committee is to be formed from four teachers and four students.

a) What is the probability that there is exactly one teacher on the committee?

b) What is the probability that students outnumber teachers on the committee?

8. What is the probability that in a group of 22 people at least two people have the same birthday?

9. What is the probability that in a group of 7 people at least 2 people share the same birth month?

10. A building supply store buys 40% of its pine boards from sawmill A and 60% from sawmill B. 7% of the boards from sawmill A and 5 percent from sawmill B have blue discoloration. If a randomly picked board is discolored, what is the probability that it came from sawmill A?

11. A bag contains 4 red marbles and 3 blue marbles.

a) What is the probability of selecting a red marble?

b) What are the odds of selecting a red marble?

12. In tossing a coin 12 times, what is the probability of obtaining

a) at least 10 heads?

b) at least 2 heads?

13. In a 5 card poker hand, what is the probability of having

a) exactly four spades in your hand?

b) no more than one red card in your hand?