1. Mutually Exclusive Events

2. 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

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)

4. 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

5. P(A or B) = P(A) + P(B) Because they are mutually exclusive… = 1 36 + 1 = 2 = 1 18

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

7. 1 2 3 4 5 6 1 2 3 4 5 6 7 2 3 4 5 6 7 8 3 4 5 6 7 8 9 4 5 6 7 8 9 10 5 6 7 8 9 10 11 6 7 8 9 10 11 12 n(A) = P(A) = 3 / 36 3

8. 1 2 3 4 5 6 1 2 3 4 5 6 7 2 3 4 5 6 7 8 3 4 5 6 7 8 9 4 5 6 7 8 9 10 5 6 7 8 9 10 11 6 7 8 9 10 11 12 n(B) = P(B) = 6 / 36 6

9. 1 2 3 4 5 6 1 2 3 4 5 6 7 2 3 4 5 6 7 8 3 4 5 6 7 8 9 4 5 6 7 8 9 10 5 6 7 8 9 10 11 6 7 8 9 10 11 12 P(A or B) = + 6/36 3/36 -1/36= 2/9

10. 1 2 3 4 5 6 1 2 3 4 5 6 7 2 3 4 5 6 7 8 3 4 5 6 7 8 9 4 5 6 7 8 9 10 5 6 7 8 9 10 11 6 7 8 9 10 11 12 P(A or B) = + P(B) P(A) - P(A and B)

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

12. Homework Pg 340 1 together 3, 4a, 5, 6,7 Test?

13. 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)