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Quantitative Aptitude

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Three dice ar...

Question

Three dice are rolled. The number of possible outcomes in which at least one die shows 5 is?

A

215

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B

36

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C

125

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D

91

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Solution

The correct option is D 91
Required number of possible outcomes
= Total number of possible outcomes - Number of possible outcomes in which 5 does not appear on any dice
$= 6^{3} - 5^{3} = 91.$

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