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Four dice six...

Question

Four dice (six faced) are rolled. The number of possible outcomes in which at least one die shows 2 is

A

1296

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B

625

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C

671

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D

None of these

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Solution

The correct option is C 671
The number of possible outcomes with 2 on at least one die = (The total number of outcomes) - (The number of outcomes in which 2 does not appear on any die)
$6^{4} - 5^{4} = 1296 - 625 = 671$

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