Question 1

Which of the following pairs of events are mutually exclusive?

Accepted Answer

Drawing a king and drawing a queen from a standard deck of cards in a single draw.

Question 2

If events $$A$$ and $$B$$ are mutually exclusive, which formula correctly gives the probability that either $$A or$$ $$B$$ occurs?

Accepted Answer

$$P(A) + P(B)$$

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 $$0.40$$, what is the probability a randomly selected donor has type O or type A blood (assuming these events are mutually exclusive)?

Accepted Answer

$$0.45 + 0.40 = 0.85$$

Question 4

Which of the following scenarios describes events that are NOT mutually exclusive?

Accepted Answer

Selecting a student who is a male 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 card is drawn from a standard deck. What is the probability that the card is a 4 or an ace?

Accepted Answer

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

Question 7

If $$P(A) = 0.3$$, $$P(B) = 0.5$$, and $$P(A \cap B) = 0.1$$, what is $$P(A \cup B)$$?

Accepted Answer

$$0.3 + 0.5 - 0.1 = 0.7$$

Question 8

A draft pick is randomly selected. If the probability the pick is a running back is $$0.2$$ and the probability the pick is a wide receiver is $$0.15$$, what is the probability the pick is either a running back or a wide receiver (assuming these are mutually exclusive)?

Accepted Answer

$$0.2 + 0.15 = 0.35$$

Question 9

Which formula should be used to find the probability that event $$A or $$event $$B$$ occurs when $$A$$ and $$B$$ are NOT mutually exclusive?

Accepted Answer

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

Question 10

A blood donor is randomly selected. The probability the donor has type B blood is $$0.12$$ and the probability the donor is Rh-negative is $$0.18. If $$the probability the donor has type B blood and is Rh-negative is $$0.05$$, what is the probability the donor has type B blood or is Rh-negative?

Accepted Answer

$$0.12 + 0.18 - 0.05 = 0.25$$

Question 11

Which of the following best describes the addition rule for probability?

Accepted Answer

It is used to find the probability that at least one of two events occurs.

Question 12

A company tracks monthly sales. If the probability of selling between $$75,000 and 124$$,999 is $$0.25$$ and the probability of selling between $$125,000 and 174$$,999$$ is 0.30$, what is the probability that next month’s sales will be between 75$$,000$$ and 174$$,999$ (assuming these events are mutually exclusive)?

Accepted Answer

$$0.25 + 0.30 = 0.55$$

Question 13

If two events $$A$$ and $$B$$ are mutually exclusive, what is $$P(A \cap B)$$?

Accepted Answer

$$0$$

Question 14

A student is randomly selected from a university. Event $$A is $$that the student is a senior, and event $$B is $$that the student is a business major. Which statement is true?

Accepted Answer

Events $$A$$ and $$B$$ are not mutually exclusive.

Question 15

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

Accepted Answer

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

Probability: The Addition Rule and Mutually Exclusive Events

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