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

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

A

1296

B

625

C

671

D

None of these

Answer

671

Explanation

Solution

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) 6454=1296625=6716^{4} - 5^{4} = 1296 - 625 = 671.