Question 1

Which of the following pairs of events are mutually exclusive?

Accepted Answer

Rolling a 3 on a die and rolling a 4 on the same die.

Question 2

If events A and B are mutually exclusive, which formula correctly represents the probability of A or B occurring?

Accepted Answer

$$P(A \cup B) = P(A) + P(B)$$

Question 3

A blood bank records the blood types of donors. If the probability a donor has type O blood is 0.45 and the probability a donor has type A blood is 0.35, what is the probability a randomly selected donor has type O or type A blood?

Accepted Answer

$$0.45 + 0.35$$

Question 4

Which scenario best illustrates events that are NOT mutually exclusive?

Accepted Answer

Selecting a student who is a female and selecting a student who is a nursing major.

Question 5

You roll a die. What is the probability of rolling a number less than 3 or rolling an odd number?

Accepted Answer

$$\frac{5}{6}$$

Question 6

A deck of 52 cards is used. What is the probability of selecting a card that is either a 4 or an ace?

Accepted Answer

$$\frac{8}{52}$$

Question 7

If events A and B are not mutually exclusive, which formula should be used to find the probability of A or B?

Accepted Answer

$$P(A \cup B) = P(A) + P(B) - P(A \cap B)$$

Question 8

A blood donor can be type B and Rh-negative. If the probability a donor is type B is 0.12, the probability a donor is Rh-negative is 0.15, and the probability a donor is both is 0.05, what is the probability a donor is type B or Rh-negative?

Accepted Answer

$$0.12 + 0.15 - 0.05$$

Question 9

Which of the following statements about mutually exclusive events is TRUE?

Accepted Answer

Mutually exclusive events have no outcomes in common.

Question 10

A sales representative reached sales between $$75,000 and 124$$,999 in 8 out of 36 months. What is the probability that next month, the representative will reach this sales level?

Accepted Answer

$$\frac{8}{36}$$

Question 11

Which of the following is an example of using the complement rule in probability?

Accepted Answer

Finding the probability of selecting a red card from a deck by subtracting the probability of selecting a black card from 1.

Question 12

A draft pick cannot be both a running back and a center. If the probability of selecting a running back is 0.075 and a center is 0.05, what is the probability of selecting either?

Accepted Answer

$$0.075 + 0.05$$

Question 13

Which formula represents the probability of the union of two events A and B when they are not mutually exclusive?

Accepted Answer

$$P(A \cup B) = P(A) + P(B) - P(A \cap B)$$

Question 14

If the probability of event A is 0.3, event B is 0.4, and both A and B is 0.1, what is the probability of A or B?

Accepted Answer

$$0.3 + 0.4 - 0.1$$

Question 15

Which of the following is NOT a property of mutually exclusive events?

Accepted Answer

They always have at least one outcome in common.

Question 16

A student is randomly selected. Event A: student is a male. Event B: student is a nursing major. Which statement is correct?

Accepted Answer

Events A and B are not mutually exclusive.

Question 17

If the probability of event A is 0.2 and event B is 0.5, and they are mutually exclusive, what is the probability of A or B?

Accepted Answer

$$0.2 + 0.5$$

Question 18

Which real-world scenario best illustrates the addition rule for mutually exclusive events?

Accepted Answer

Finding the probability of selecting a card that is either a 4 or an ace from a deck.

Probability: The Addition Rule and Mutually Exclusive Events

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