Solving problems involving probability

1. Which of these events are mutually exclusive?

• A. drive a car and sing a song

• B. draw a king and a red card

• C. roll a die and get 5 or 6

• D. get an average of 90 and rank first in school

2. The following are mutually exclusive events EXCEPT ________.

• A. eating and sleeping

• B. watching a movie and taking a long hour flight

• C. driving and walking

• D. staying at home and going out with your friends

3. A box contains 15 red balls, 15 green balls, 15 black balls, 3 silver balls and 2 gold balls. What is the probability that a person would draw a silver or gold ball from the box?

• A. 1/10

• B. 3/1250

• C. 1/5

• D. 3/10

4. Which refers to two events that cannot occur at the same time?

• A. . Dependent Events

• B. Joint Events

• C. Mutually Exclusive Events

• D. Non- Mutually Exclusive Events

5. What is the probability of randomly selecting a card from a standard 52 – card deck that is a heart or an ace?

• A. 1/13

• B. 3/13

• C. 1/4

• D. 17/52

6. Which refers to two events that may occur at the same time?

• A. Dependent Events

• B. Disjoint Events

• C. Mutually Exclusive Events

• .D. Non- Mutually Exclusive Events

7. If P(A) = 3/10, P(B) = 1/2, and P (A ∪ B) = 4/5, then Events A and B are mutually exclusive events.

• A. True, since P (A ∪ B) is not equal to 0.

• B. True, since P(A) + P(B) = P (A ∪ B)

• C. False, since P (A ∪ B) is equal to 0

• D. Cannot be determined, since P (A ∩ B) is not provided.

8. An arrangement of n objects without repetition and the order is not important.

• A. Permutation

• B. Probability

• C. Combination

• D. Fundamental Counting Principle

9. If an atm pin must contain 6 different digits, in how many ways can a pin be formed from the digits 0 to 9?

• A. 5040

• B. 5050

• C. 5060

• D. 5070

10. In how many ways can first and second place be awarded to 10 people?

• A. 70

• B. 80

• C. 90

• D. 100