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Homework: pg. 430 #45, 46, 49, 50 45.) Fight one battle, The probability of winning is 0.6, which is higher than the probability 0.512. 46.) The probability.

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Presentation on theme: "Homework: pg. 430 #45, 46, 49, 50 45.) Fight one battle, The probability of winning is 0.6, which is higher than the probability 0.512. 46.) The probability."— Presentation transcript:

1 Homework: pg. 430 #45, 46, 49, 50 45.) Fight one battle, The probability of winning is 0.6, which is higher than the probability ) The probability that all 12 chips in a car will work is ) ) 0.02

2 Section 6.3 day 1 General Probability

3 Example A: Zack gets into Harvard P(A)=0.4 B: Zack gets into Stanford P(B)=0.75 Are these 2 events disjoint? NO We need to know this Harvard Stanford

4 P(A or B)= P(A) + P(B) – P(A and B)
General Addition Rule For ANY 2 events P(A or B)= P(A) + P(B) – P(A and B)

5 Previous college example
A: Zack gets into Harvard P(A)=0.4 B: Zack gets into Stanford P(B)=0.75 P(A and B)=0.2 P(A or B)= P(A only)= P(Ac and Bc)= Harvard Stanford

6 Consolidated Builders has bid on two large construction contracts
Consolidated Builders has bid on two large construction contracts. The company president believes that the probability of winning the first contract (event A) is 0.6, that the probability of winning a second (event B) is 0.4, and that the probability of winning both jobs is 0.1. (a)What is the probability of the event {A or B} that Consolidated will win at least one of the jobs? (b)Draw a Venn diagram that shows the relation between the events A and B in (a).

7 Write each of the following events in terms of A, B, Ac, and Bc
Write each of the following events in terms of A, B, Ac, and Bc. Indicate these events on the Venn diagram, and use the information above to calculate the probability of each. (a) Consolidated wins both jobs. (b) Consolidated wins the first job but not the second. (c) Consolidated does not win the first job but does win the second. (d) Consolidated does not win either job.

8 Homework: pg. 440 #66, 67, 69, 70


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