(a) Check the outcomes for each of the three events below. Then, enter the probability of each event. Event A: A white bean on the last choice Event B: Exactly one bean is white Event A and B: A white bean on the last choice and exactly one bean is white Event A: A white bean on the last choice = 0 0 ▼P(AB) 00 wwwwwRWRW WRR RWW RWR RRW RRR 0 X 0 (c) Give the following probabilities and select the correct option below. P(A and B) P (B) P(A/B) P(A and B) P(B) 0 0 0 Outcomes 0 (b) Suppose exactly one bean is white. (That is, Event B occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for Event A. Then, enter the probability that Event A occurs given that Event B occurs. 0 0 0 0 Outcomes given exactly one bean is white WRR RWR RRW Probability 0 0 0 Probability 0

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Three beans are selected from a large jar containing equal amounts of white beans and red beans. An outcome is represented by a string of the sort RWW meaning the first bean is red, the second is white, and the third is white. The 8 outcomes are listed below. Assume that each outcome has the same probability.Complete the following. Write your answers as fractions.

(a) Check the outcomes for each of the three events below. Then, enter the probability of each event.
Event A: A white bean on the last choice
Event B: Exactly one bean is white
Event A and B: A white bean on the last
choice and exactly one bean is white
Event A: A white bean on the last choice
P(A and B)
P (B)
=
=
0
(c) Give the following probabilities and select the correct option below.
P(A and B)
P (B)
P(A/B)
0
▼P(AB)
wwwwWRWRW WRR RWW RWR RRW RRR
0
010
U
J
Outcomes
0
U
(b) Suppose exactly one bean is white. (That is, Event B occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes
for Event A. Then, enter the probability that Event A occurs given that Event B occurs.
0
0
0
J
Outcomes given exactly one bean is white
WRR
RWR RRW
Probability
0
0
0
Probability
olo
П
olo
X
0
Transcribed Image Text:(a) Check the outcomes for each of the three events below. Then, enter the probability of each event. Event A: A white bean on the last choice Event B: Exactly one bean is white Event A and B: A white bean on the last choice and exactly one bean is white Event A: A white bean on the last choice P(A and B) P (B) = = 0 (c) Give the following probabilities and select the correct option below. P(A and B) P (B) P(A/B) 0 ▼P(AB) wwwwWRWRW WRR RWW RWR RRW RRR 0 010 U J Outcomes 0 U (b) Suppose exactly one bean is white. (That is, Event B occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for Event A. Then, enter the probability that Event A occurs given that Event B occurs. 0 0 0 J Outcomes given exactly one bean is white WRR RWR RRW Probability 0 0 0 Probability olo П olo X 0
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