Probability Addition Rules

find the probability of choosing a student at random that plays an instrument OR a sport

• 1/2

• 13/20

• 21/20

• 4/5

Given a standard number cube, and the events of rolling an odd number or a 4. Are the events mutually exclusive?

• Not Mutually Exclusive

• Mutually exclusive

• 1/2

• 1/6

If you roll one die, what is the probability of getting an even number or a multiple of 3?

• 2/3

• 1/6

• 1/2

• 5/6

A recent study of a metropolitan area found that 31% of people owned a SUV, 74% of people surveyed owned a car, and 10% owned both. What's the probability that a randomly chosen person owned a SUV or a car?

• 85%

• 95%

• 5%

• 15%

Determine if the events are mutually exclusive or not mutually exclusive.

• A

• B

Determine if the events are mutually exclusive or not mutually exclusive.

• A

• B

Probability of 2 mutually exclusive events

• P(A and B) = P(A) * P(B|A)

• P(A or B) = P(A) + P(B)

• P(A and B) = P(A) * P(B)

• P(A or B) = P(A) + P(B) - P(A ∩ B)

Probability of 2 non-mutually exclusive events

• P(A and B) = P(A) * P(B|A)

• P(A or B) = P(A) + P(B)

• P(A and B) = P(A) * P(B)

• P(A or B) = P(A) + P(B) - P(A ∩ B)

True or False.

"and" relates to the multiplication rule

"or" relates to the addition rule

• True

• False