Write the total number of possible outcomes in a throw of 3 dice in wh

1.	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 = 6³ = 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 = 3³ = 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.

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 = 6³ = 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 = 3³ = 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.