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In a bike race, the odds against three bikes are 3 : 1, 2 : 1, and 4 : 1. The probability that one of the bikes will win the race is ______ -

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Question

In a bike race, the odds against three bikes are 3 : 1, 2 : 1, and 4 : 1. The probability that one of the bikes will win the race is ______

Options

  • `37/60`

  • `47/60`

  • `1/4`

  • `3/4`

MCQ
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Solution

In a bike race, the odds against three bikes are 3 : 1, 2 : 1, and 4 : 1. The probability that one of the bikes will win the race is `underline(47/60)`.

Explanation:

The probabilities of winning the race by three bikes are `1/4, 1/3` and `1/5`. 

Hence, required probability = `1/4 + 1/3 + 1/5 = 47/60`

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