Mutually Exclusive, Exhaustive and Independent Events

Question 1

What are mutually exclusive events?

Answer 1

Events that CAN’T happen at the same time`

Question 2

Finish the sentence:

“If events A and B are mutually exclusive, then the probability of either event occurring is…”

Answer 2

P( A or B )

Question 3

What is the addition law for mutually exclusive events?

Answer 3

P(A or B) = P(A) + P(B)

Question 4

What are exhaustive events?

Answer 4

A set of events that contains all possible outcomes

Question 5

What is P(A and B)? What is the set notation for this?

Answer 5

1. Probability of A and B occurring; intersection A and B

2. P(A ∩ B)

Question 6

Finish the sentence:

“In an overlapping Venn diagram, the events aren’t…”

Answer 6

Mutually exclusive

Question 7

What is P(A ∪ B)?

Answer 7

Probability of A, B or both occurring; A union B

Question 8

What is the addition law for events that aren’t mutually exclusive?

Answer 8

P(A or B) = P(A) + P(B) - P(A ∩ B)

Question 9

What are independent events?

Answer 9

When the outcomes of two events don’t affect each other

Question 10

What is the probability of two independent events occurring? What is the formula for this?

Answer 10

1. P(A and B)

2. P(A and B) = P(A) x P(B)