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An urn contains five balls, one marked WIN and four marked
Chapter 1, Problem 16E(choose chapter or problem)
PROBLEM 16E
An urn contains five balls, one marked WIN and four marked LOSE. You and another player take turns selecting a ball at random from the urn, one at a time. The first person to select the WIN ball is the winner. If you draw first, find the probability that you will win if the sampling is done
(a) With replacement.
(b) Without replacement.
Questions & Answers
QUESTION:
PROBLEM 16E
An urn contains five balls, one marked WIN and four marked LOSE. You and another player take turns selecting a ball at random from the urn, one at a time. The first person to select the WIN ball is the winner. If you draw first, find the probability that you will win if the sampling is done
(a) With replacement.
(b) Without replacement.
ANSWER:
Answer :
Step 1 of 2 :
We have an urn contains five balls,one marked WIN and four LOSE.
The first person to select the WIN ball is the winner.
If we draw first,we have to find the probability that you will win if the sampling is done.
5 ball = 1win + 4 loss.
a).
With replacement.
P{(W,LLW,LLLLW,... )} =
P{(W,LLW,LLLLW,... )} =
P{(W,LLW,LLLLW,... )} =
P{(W,LLW,LLLLW,... )} =
Therefore the probability that you will win if the sampling is done is .