In an annual club election, there are three possible candidates. The probability of Mr. Chong, Mr. Yang and Mr. Long being nominated are 0.15, 0.55 and 0.30 respectively. If the nominated candidates take part in the election, the probabilities that the election is won by Mr. Chong, Mr. Yang and Mr. Long are 0.5, 0.65 and 0.4 respectively. (a) Draw a tree diagram for the above information. (b) Given that someone won the election, what is the probability that the winner is Mr. Chong?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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2 In an annual club election, there are three possible candidates. The
probability of Mr. Chong, Mr. Yang and Mr. Long being nominated are
0.15, 0.55 and 0.30 respectively. If the nominated candidates take part
in the election, the probabilities that the election is won by Mr. Chong,
Mr. Yang and Mr. Long are 0.5, 0.65 and 0.4 respectively.
(a) Draw a tree diagram for the above information.
(b) Given that someone won the election, what is the probability that
the winner is Mr. Chong?
Transcribed Image Text:2 In an annual club election, there are three possible candidates. The probability of Mr. Chong, Mr. Yang and Mr. Long being nominated are 0.15, 0.55 and 0.30 respectively. If the nominated candidates take part in the election, the probabilities that the election is won by Mr. Chong, Mr. Yang and Mr. Long are 0.5, 0.65 and 0.4 respectively. (a) Draw a tree diagram for the above information. (b) Given that someone won the election, what is the probability that the winner is Mr. Chong?
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