Mutually Exclusive Events. Ex 1 Baseball pitches Marie, at bat for the Coyotes, wants to hit a fastball or a slider. Anton throws the following Curveball.

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Presentation transcript:

Mutually Exclusive Events

Ex 1 Baseball pitches Marie, at bat for the Coyotes, wants to hit a fastball or a slider. Anton throws the following Curveball. P(C) = 1/3 Slider. P(S) = 1/2 Fastball. P(F) = 1/6 Find the probability that Marie gets a pitch she wants P(F or S) = 1/6 + 1/2 = 4/6 = 2/3

The possible events in this question are said to be mutually exclusive since they can not occur at the same time. P(A or B) = P(A) + P(B)

Ex. If two dice are rolled, find the probability that a)A total of 2 or 12 will occur A: rolling a 2 B: rolling a 12 P(A) = 1 36 P(B) = 1 36

P(A or B) = P(A) + P(B) Because they are mutually exclusive… = = 2 = 1 18

b) 4 or a pair will occur A: total of 4 B: pair

n(A) = P(A) = 3 / 36 3

n(B) = P(B) = 6 / 36 6

P(A or B) = + 6/36 3/36 -1/36= 2/9

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

For Non-Mutually Exclusive events P(A U B) =P(A) + P(B) – P(A B) U

Homework Pg together 3, 4a, 5, 6,7 Test?

If A and B have no outcomes in common, they are said to be mutually exclusive events: P(A U B) =P(A) + P(B)