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Q.

The number of possible outcomes in a throw of n ordinary dice in which at least one of the dice shows an odd number is

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a

3n−1

b

none of these

c

6n−3n

d

6n−1

answer is C.

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Detailed Solution

We have, 

Required number of outcomes

 = Total number of outcomes

 - Number of outcomes in which no die shows an odd number

=6n−3n.

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The number of possible outcomes in a throw of n ordinary dice in which at least one of the dice shows an odd number is