Question

If three dice are rolled once, the number of ways of getting atleast one prime number on the dice is____

• A. 189
• B. 169
• C. 179
• D. 159

Answer 1

The correct option is A 189

Number of ways getting at least one prime $=$ total number of ways - number of ways not getting prime.
$1,4,6$ are not a prime number on dice
$\therefore$ Required number of ways $=6\times 6\times 6-3\times 3\times 3=189$