See pictures for questions a, b and c 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.

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See pictures for questions a, b and c

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.

(6) 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 4. Then, entar the probability that Event A occurs given that Event B occurs.
Outcomes given exactly one bean is white
Probability
WRR
RWR RRW
Event A: A white bean on the last choice
(c) Give the following probabilities and select the correct option below.
P(A and B)
P(B)
P(4 |B)
PA and B)
P(B)
7 P(4|B)
日
Transcribed Image Text:(6) 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 4. Then, entar the probability that Event A occurs given that Event B occurs. Outcomes given exactly one bean is white Probability WRR RWR RRW Event A: A white bean on the last choice (c) Give the following probabilities and select the correct option below. P(A and B) P(B) P(4 |B) PA and B) P(B) 7 P(4|B) 日
a) Check the outcomes for each of the three events below. Then, enter the probablity of each event.
Outcomes
Probability
WWW WWRWRW WRR|RWWRWR RRW RRR
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
Transcribed Image Text:a) Check the outcomes for each of the three events below. Then, enter the probablity of each event. Outcomes Probability WWW WWRWRW WRR|RWWRWR RRW RRR 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
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