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Five fair coins are tossed simultaneously. The probability of the events that at least one head comes up is ______.

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Question

Five fair coins are tossed simultaneously. The probability of the events that at least one head comes up is ______.

Options

  • `27/32`

  • `5/32`

  • `31/32`

  • `1/32`

MCQ
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Solution

Five fair coins are tossed simultaneously. The probability of the events that at least one head comes up is `underlinebb(31/32)`.

Explanation:

Total cases = 25 = 32

One of the cases will be all three tails.

So remaining 31 cases are valid.

∴ P(event getting at least one head) = `31/32`.

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2022-2023 (March) Delhi Set 1

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