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Four die are rolled. The number of ways ...

Four die are rolled. The number of ways in which at least one die shows 3, is

A

625

B

671

C

1296

D

1256

Text Solution

Verified by Experts

The correct Answer is:
B
Since each dice can result in 6 ways. So, the total number of possible outcomes is `6xx6xx6xx6=6^(4)`.
If 3 does not occur on any die, then each die can result in 5 ways.
`:.` Total number of outcomes in which no die shows 3 `=5xx5xx5xx5=5^(4)`
Total number of possible outcomes in which at least one die shows 3
= Total number of possible outcomes
- Number of outcomes in which no die shows 3 `=6^(4)-5^(4)=671`.
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