Addition Rule for Mutually Exclusive Events

Front

What is the Addition Rule for Mutually Exclusive Events?

Back

The Addition Rule states that for two mutually exclusive events A and B, the probability of A or B occurring is P(A) + P(B).

Tags

CCSS.HSS.CP.B.7

Front

Define mutually exclusive events.

Back

Mutually exclusive events are events that cannot occur at the same time.

Tags

CCSS.HSS.CP.A.5

Front

If P(A) = 1/4 and P(B) = 1/3, what is P(A or B) if A and B are mutually exclusive?

Back

P(A or B) = P(A) + P(B) = 1/4 + 1/3 = 7/12.

Tags

CCSS.HSS.CP.B.7

Front

What is the probability of drawing a heart or a diamond from a standard deck of cards?

Back

P(heart or diamond) = P(heart) + P(diamond) = 13/52 + 13/52 = 26/52 = 1/2.

Tags

CCSS.HSS.CP.B.7

Front

How do you calculate the probability of drawing a face card or a diamond?

Back

P(face card or diamond) = P(face card) + P(diamond) - P(face card that is a diamond) = 12/52 + 13/52 - 3/52 = 22/52.

Tags

CCSS.HSS.CP.B.7

Front

What is the probability of rolling a 2 or a 3 on a die?

Back

P(2 or 3) = P(2) + P(3) = 1/6 + 1/6 = 2/6 = 1/3.

Tags

CCSS.HSS.CP.B.7

Front

If 30% of students own a bicycle and 20% own a skateboard, and 5% own both, what is the probability that a student owns a bicycle or a skateboard?

Back

P(bicycle or skateboard) = P(bicycle) + P(skateboard) - P(both) = 0.30 + 0.20 - 0.05 = 0.45.

Tags

CCSS.HSS.CP.B.7

Front

What does it mean if two events are independent?

Back

Two events are independent if the occurrence of one does not affect the occurrence of the other.

Tags

CCSS.HSS.CP.A.5

Front

Calculate the probability of rolling a multiple of 2 or a multiple of 3 on a die.

Back

P(multiple of 2 or multiple of 3) = P(multiple of 2) + P(multiple of 3) - P(multiple of 6) = 3/6 + 2/6 - 1/6 = 4/6 = 2/3.

Tags

CCSS.HSS.CP.B.7

Front

What is the probability of drawing a 5 or a heart from a standard deck of cards?

Back

P(5 or heart) = P(5) + P(heart) - P(5 that is a heart) = 4/52 + 13/52 - 1/52 = 16/52.

Tags

CCSS.HSS.CP.B.7