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# Write the total number of possible outcomes in a throw of 3 dice in which at least one of the dice shows an even number.

Answer :

Total possible outcomes in a throw of 3 dice = 6^{3} = 216.

When, no die shows an even number i.e. all the die shows odd number (1, 3 or 5), then, the number of possible outcomes = 3^{3} = 27.

Hence, the total number of possible outcomes in a throw of 3 dice in which at least one of the dice shows an even number = 216 - 27

= __189__.

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