COMPOUND EVENTS

Two events, A and B, are mutually exclusive if:

• P(A ∩ B) = 0

• P(A ∩ B) = 1

• P(A ∪ B) = 0

• P(A ∪ B) = 1

Which of the following events is an example of dependent events?

• Rolling a die and flipping a coin

• Drawing two cards from a deck without replacement

• Rolling a die twice

• Drawing two cards from a deck with replacement

If two events A and B are independent, which of the following is true?

• P(A ∩ B) = P(A) + P(B)

• P(A ∩ B) = P(A) × P(B)

• P(A ∪ B) = P(A) × P(B)

• P(A ∪ B) = P(A) + P(B)

The complement of event A is denoted as:

• A’

• A ∩ B

• A ∪ B

• A

If P(A) = 0.4 and P(B) = 0.5, and A and B are mutually exclusive events, what is P(A ∪ B)?

• 0.9

• 0.8

• 0.7

• 1

Two events are complementary if the probability of both events happening is greater than 1.

• True

• False

If two events are dependent, the occurrence of one affects the probability of the other.

• True

• False

A bag contains 3 red balls, 5 blue balls, and 2 green balls. One ball is drawn at random. What is the probability of drawing a red ball or a green ball?

Evaluate responses using AI:

OFF

A deck of cards is shuffled, and two cards are drawn consecutively without replacement. What is the probability of drawing a king on the first draw and a queen on the second draw?

Evaluate responses using AI:

OFF

In a survey, 60% of participants like chocolate, and 40% like vanilla. What is the probability that a randomly selected participant likes either chocolate or vanilla?

Evaluate responses using AI:

OFF