Independent and Mutually Exclusive Events

What is the probability of two independent events A and B occurring together?

• P(A) / P(B)

• P(A) + P(B)

• P(A) * P(B)

• P(A) - P(B)

Which of the following is true for mutually exclusive events A and B?

• P(A AND B) = 0

• P(A AND B) = P(A) * P(B)

• P(A OR B) = P(A) * P(B)

• P(A OR B) = 0

If two events are independent, what can be said about P(A|B)?

• P(A|B) = P(A)

• P(A|B) = 1

• P(A|B) = P(B)

• P(A|B) = 0

In a deck of 52 cards, if you draw a card and replace it before drawing again, what type of sampling is this?

• Without replacement

• Dependent sampling

• Mutually exclusive sampling

• With replacement

What is the probability of drawing a red card from a standard deck of 52 cards?

• 1/3

• 1/2

• 1/4

• 1/5

If P(A) = 0.4 and P(B) = 0.2, and A and B are independent, what is P(A AND B)?

• 0.08

• 0.6

• 0.2

• 0.4

Which of the following is NOT a condition for two events to be independent?

• P(A|B) = P(A)

• P(B|A) = P(B)

• P(A AND B) = P(A) + P(B)

• P(A AND B) = P(A) * P(B)

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

• P(A) + P(B)

• P(A) - P(B)

• P(A) / P(B)

• P(A) * P(B)

What is the probability of drawing an ace from a standard deck of 52 cards?

• 1/26

• 1/52

• 1/4

• 1/13

If events A and B are such that P(A AND B) = 0, what can be concluded?

• A and B are complementary

• A and B are mutually exclusive

• A and B are independent

• A and B are dependent