Independent and Dependent Events in Probability

What does it mean when two events are independent?

• The occurrence of one event does not affect the probability of the other event.

• The events can only occur together.

• The occurrence of one event affects the probability of the other event.

• The events have no elements in common.

How do you calculate the probability of two independent events occurring together?

• Add the probabilities of both events.

• Multiply the probability of one event by the probability of the other event.

• Subtract the probability of one event from the other.

• Divide the probability of one event by the probability of the other.

What is the probability of the entire sample space?

• It cannot be determined.

• 0.5

• 0

• 1

What formula is used to calculate the probability of A or B occurring?

• P(A) + P(B) - P(A and B)

• P(A) / P(B)

• P(A) * P(B)

• P(A) + P(B)

How is conditional probability expressed?

• P(B|A) = P(A and B) / P(A)

• P(B|A) = P(A) / P(A and B)

• P(B|A) = P(A) * P(B)

• P(B|A) = P(A) + P(B)

In a class of 40 students, if 34 like bananas and 22 like pineapples, how many students like both?

• 2 students

• 4 students

• 18 students

• 16 students

What is the probability that a student likes at least one fruit?

• 9/20

• 19/20

• 18/40

• 38/40

What is the probability that a student likes bananas given they like pineapples?

• 16/34

• 4/22

• 18/22

• 9/11

If the probability of A is 2/5 and the probability of B given A is 1/3, what is the probability of A and B?

• 3/20

• 1/4

• 2/15

• 1/3

What is the probability of B given not A?

• 9/11

• 1/4

• 2/15

• 3/20