Question

Four dice are rolled. The number of possible out comes in which at least one dice shows $2$ is

• A. $1296$
• B. $671$
• C. $625$
• D. none of these

Answer 1

Answer: (B)

$671$

Answer 2

The total number of possible outcomes is $6^{4}$. The number of possible outcomes in which $2$ does not appear on any dice is $5^{4}$. $\therefore$ the no. of possible outcomes in which at least one dice shows a $2$ is $6^{4}-5^{4}=1296-625$ $=671$