Question 1

If the probability of event $$A$$ occurring is $$0.7$$, what is the probability of the complement of $$A ($$denoted $$A') $$occurring?

Accepted Answer

$$0.3$$

Question 2

A single card is drawn from a standard deck of 52 cards. What is the probability that the card is NOT a queen?

Accepted Answer

$$\frac{12}{13}$$

Question 3

When rolling a fair six-sided die, what is the probability that you will NOT roll a 4?

Accepted Answer

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

Question 4

If $$P(A) = 0.25$$, what is $$P(A')$$?

Accepted Answer

$$0.75$$

Question 5

A weatherperson states that the probability it will rain tomorrow is $$10\%$$, or $$0.1. $$What is the probability that it will NOT rain tomorrow?

Accepted Answer

$$0.9$$

Question 6

If $$P(A) + P(A') = 1$$, and $$P(A) = 0.6$$, what is $$P(A')$$?

Accepted Answer

$$0.4$$

Question 7

A bag contains 5 red marbles, 3 blue marbles, and 2 yellow marbles. If one marble is drawn at random, what is the probability that it is NOT yellow?

Accepted Answer

$$0.8$$

Question 8

Which of the following correctly expresses the relationship between the probability of an event $$A$$ and its complement $$A'$$?

Accepted Answer

$$P(A) + P(A') = 1$$

Question 9

If the probability that a randomly selected student passes a statistics exam is $$0.85$$, what is the probability that the student does NOT pass?

Accepted Answer

$$0.15$$

Question 10

A company finds that the probability a randomly chosen product is defective is $$0.04. $$What is the probability that a product is NOT defective?

Accepted Answer

$$0.96$$

Question 11

If $$P(A') = 0.7$$, what is $$P(A)$$?

Accepted Answer

$$0.3$$

Question 12

A fair coin is tossed once. What is the probability that it does NOT land on heads?

Accepted Answer

$$0.5$$

Question 13

A die is rolled. What is the probability that the outcome is NOT an even number?

Accepted Answer

$$0.5$$

Question 14

If the probability that a randomly selected patient recovers from a certain disease is $$0.92$$, what is the probability that a patient does NOT recover?

Accepted Answer

$$0.08$$

Question 15

A survey finds that the probability a person prefers tea over coffee is $$0.4. $$What is the probability that a person does NOT prefer tea over coffee?

Accepted Answer

$$0.6$$

Complementary Events in Probability

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