Mutually Exclusive Events Worksheet

**Page 1**

1.

The two events A and B are mutually exclusive and P(A) = 0.25 and P(B) = 0.5. Find P(A$\cup $B).

a. | 0.75 | ||

b. | 0.25 | ||

c. | 0.5 | ||

d. | 0.3 |

Correct answer : (1)

2.

Which of the following is a mutually exclusive event?

a. | Drawing a queen or a diamond from a standard deck of cards. | ||

b. | Rolling a 3 or 4 on a single roll of a number cube. | ||

c. | Rolling a number greater than 8 and rolling an even number when a pair of dice is rolled. | ||

d. | A card selected from a deck will be either an ace or a spade. |

Correct answer : (2)

3.

Which of the following is a mutually exclusive event?

a. | A card selected from a deck will be either a queen or a red. | ||

b. | A card selected from a deck will be either a black or a king. | ||

c. | A card selected from a deck will be either an ace or a king. | ||

d. | A card selected from a deck will be either a spade or 2. |

Correct answer : (3)

4.

A pair of dice is rolled. What is the probability that the sum of the numbers rolled is either 8 or 12?

a. | $\frac{2}{9}$ | ||

b. | $\frac{5}{36}$ | ||

c. | $\frac{1}{6}$ | ||

d. | $\frac{1}{5}$ |

Correct answer : (3)

5.

Which of the following events are not mutually exclusive?

a. | tossing a coin and rolling a number cube | ||

b. | rolling a 3 or 5 on a single roll of a number cube | ||

c. | drawing a 3 and a diamond from a standard deck of cards | ||

d. | rolling a number greater than 3 or a multiple of 3 when a pair of dice is rolled |

Correct answer : (3)

6.

Tony had 5 red socks, 3 blue socks, and 2 white socks in a drawer. He pulled out 2 socks at random from the drawer. What is the probability that one sock is blue and the other is red?

a. | $\frac{1}{3}$ | ||

b. | $\frac{1}{\mathrm{18}}$ | ||

c. | $\frac{1}{2}$ | ||

d. | $\frac{1}{6}$ |

Correct answer : (4)

7.

Carol has 5 cookies, 8 chocolates, and 2 cakes in her refrigerator. Find the probability of Carol choosing a chocolate and her sister choosing a cake to eat.

a. | $\frac{3}{\mathrm{35}}$ | ||

b. | $\frac{\mathrm{16}}{\mathrm{105}}$ | ||

c. | $\frac{\mathrm{19}}{\mathrm{210}}$ | ||

d. | $\frac{8}{\mathrm{105}}$ |

Correct answer : (4)

8.

What is the probability of rolling a number greater than 6 with a number cube?

a. | 1 | ||

b. | $\frac{1}{2}$ | ||

c. | $\frac{1}{6}$ |

Correct answer : (2)

9.

Two 6-sided dice are rolled simultaneously. List all the outcomes, where the sum of the two numbers is 9.

a. | (2, 7), (7, 2) | ||

b. | (3, 6), (4, 5), (5, 4), (6, 3) | ||

c. | (2, 7) | ||

d. | None of the above |

Correct answer : (2)

10.

Tina tossed two coins at a time. Choose a list that shows all the possible outcomes.

a. | (H, H), (H, 0), (T, H), (T, T) | ||

b. | (H, H), (H, T), (T, H), (T, H, T) | ||

c. | (H, T) | ||

d. | (H, H), (H, T), (T, H), (T, T) |

Correct answer : (4)