If three dice are thrown simultaneously, then the probability of getting a score of 5 is
Correct Answer: Option C
Total number of possible outcomes when three dice are thrown simultaneously = 6 × 6 × 6 = 216
Three numbers add up to 5 ⇒ numbers can constitute the following sets: {1, 1, 3} or {1, 2, 2}
[No die can show more than 3 and less than 1 for the three numbers to add up to 5]
{1, 1, 3} can be rearranged in 3 ways as (1, 1, 3), (1, 3, 1) and (3, 1, 1)
{1, 2, 2} can be rearranged in 3 ways as (1, 2, 2), (2, 1, 2) and (2, 2, 1)
So, total number of ways in which three numbers on dice add up to 5 is 6.
∴ The required probability = 6/216 = 1/36
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