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.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.

(If necessary, consult a list of formulas.)

(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.
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(4 and B)
P(B)
P(4 \B)
P(4 and B)
P(B)
>, =
= or <
7 P(4 IR)
Transcribed Image Text:(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. 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(4 and B) P(B) P(4 \B) P(4 and B) P(B) >, = = or < 7 P(4 IR)
(a) Check the outcomes for each of the three events below. Then, enter the probability of each event.
Outcomes
Probability
WWW.WWR WRW WRR RWW RWR RRW RRR
Event A: A white bean on the last cholce
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 probability of each event. Outcomes Probability WWW.WWR WRW WRR RWW RWR RRW RRR Event A: A white bean on the last cholce 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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