C In Problems 31-34, one of two urns is chosen at random, with one as likely to be chosen as the other. Then a ball is withdrawn from the chosen urn. Urn 1 contains 1 white and 4 red balls, and urn 2 has 3 white and 2 red balls. 31. If a white ball is drawn, what is the probability that it came from urn 1? 32. If a white ball is drawn, what is the probability that it came from urn 2? 33. If a red ball is drawn, what is the probability that it came from urn 2? 34. If a red ball is drawn, what is the probability that it came from urn 1?

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Chapter1: Combinatorial Analysis
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C
In Problems 31-34, one of two urns is chosen at random, with one
as likely to be chosen as the other. Then a ball is withdrawn from
the chosen urn. Urn 1 contains 1 white and 4 red balls, and urn 2
has 3 white and 2 red balls.
31. If a white ball is drawn, what is the probability that it came
from urn 1?
32. If a white ball is drawn, what is the probability that it came
from urn 2?
33. If a red ball is drawn, what is the probability that it came
from urn 2?
34. If a red ball is drawn, what is the probability that it came
from urn 1?
In Problems 35 and 36, an urn contains 4 red and 5 white balls.
Two balls are drawn in succession without replacement.
35. If the second ball is white, what is the probability that the
first ball was white?
36. If the second ball is red, what is the probability that the first
ball was red?
Transcribed Image Text:C In Problems 31-34, one of two urns is chosen at random, with one as likely to be chosen as the other. Then a ball is withdrawn from the chosen urn. Urn 1 contains 1 white and 4 red balls, and urn 2 has 3 white and 2 red balls. 31. If a white ball is drawn, what is the probability that it came from urn 1? 32. If a white ball is drawn, what is the probability that it came from urn 2? 33. If a red ball is drawn, what is the probability that it came from urn 2? 34. If a red ball is drawn, what is the probability that it came from urn 1? In Problems 35 and 36, an urn contains 4 red and 5 white balls. Two balls are drawn in succession without replacement. 35. If the second ball is white, what is the probability that the first ball was white? 36. If the second ball is red, what is the probability that the first ball was red?
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