# Answer to Question #6139 in Statistics and Probability for samreen

Question #6139

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:probability that a wins

2:probability that c does not win

Expert's answer

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

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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