Question

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

• A. $625$
• B. $671$
• C. $1023$
• D. $1296$

Answer 1

The correct option is B

$671$

Explanation for the correct option:

Find the number of possible outcomes :

Total number of possible outcomes when $4$dice are rolled $=6\times 6\times 6\times 6=1296$

Number of outcomes when no dice show $2$ $=5\times 5\times 5\times 5=625$

Therefore, the number of possible outcomes when at least one dice shows 2

$=1296-625=671$

Hence the correct option is B.