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Question

# Three companies are bidding on a contract. Company A is twice as likely to win as Company B, and Company B is three times as likely to win as Company C. What is the probability of company A winning the contract?

A

0.1

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B

0.6

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C

1

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D

0.5

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Solution

## The correct option is B 0.6 Let the probability of C winning be p. Then the probability of B winning = 3p. The probability of A winning = 6p. We know that the sum of probabilities is 1. That is, p + 3p + 6p = 10p = 1 p = 0.1 Thus, P (A) = 6 × 0.1 = 0.6

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