Consider a sample space S and three events A, B,C, and a probability function P such that: P(A) = .3, P(B) = .4, P(C) = .6 P(AUB) = .5, P(ANC) = .1 P(A°NB°NC°) = .2 P(ANBNC) = .1 (a) Use the rules of probability to find P(An B). (b) Use the rules of probability to find P(AN BNC°).(4 points) (c) Use the rules of probability to find P(A°n Bºn C).
Consider a sample space S and three events A, B,C, and a probability function P such that: P(A) = .3, P(B) = .4, P(C) = .6 P(AUB) = .5, P(ANC) = .1 P(A°NB°NC°) = .2 P(ANBNC) = .1 (a) Use the rules of probability to find P(An B). (b) Use the rules of probability to find P(AN BNC°).(4 points) (c) Use the rules of probability to find P(A°n Bºn C).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Consider a sample space S and three events A, B,C, and a probability function P such
that:
P(A) = .3, P(B) = .4, P(C') = .6
P(AU B) = .5, P(AnC) = .1
P(A°N B°N C°) = .2
P(ANBNC) = .1
(a) Use the rules of probability to find P(AN B).
(b) Use the rules of probability to find P(ANB C9.(4 points)
(c) Use the rules of probability to find P(A°n Bºn C).
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