three candidates are contesting in an election. Candidates a and b have same chance of wining but candidates c has twice the chance of b and a find
1:probability that a wins
2:probability that c does not win
1
Expert's answer
2012-01-26T12:12:09-0500
Let p be the probability of winning for a. By assumption it is also equal to the probability of winning of b. Moreover, the probability of winning for c is twice the chance of b and a, and so it is equal to 2p. Since only one candidate can win, we have p + p + 2p = 1 4p=1
p=1/4=0.25
Hence 1) the probability that a win is 0.25 2) the probability that c does not win is 1-2p=0.5
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