Three dice are rolled once. The chance of getting a score of 5 is

Question

Three dice are rolled once. The chance of getting a score of 5 is (A) (5/216) (B) (1/6) (C) (1/36) (D) (1/72)

Tardigrade Admin · Accepted Answer

Total number of outcomes = 6 × 6 × 6 =216 When sum of numbers is 5, then outcomes are (1, 1, 3), (1, 2, 2), (1, 3, 1), (2, 1, 2), (2, 2, 1) and (3, 1, 1). ∴ Required probability = (6/216) = (1/36)

Q. Three dice are rolled once. The chance of getting a score of $5$ is

$\frac{5}{216}$

$\frac{1}{6}$

$\frac{1}{36}$

$\frac{1}{7 ^{2}}$

Total number of outcomes = $6 \times 6 \times 6$
$= 216$
When sum of numbers is 5, then outcomes are $(1, 1, 3), (1, 2, 2), (1, 3, 1), (2, 1, 2), (2, 2, 1)$ and $(3, 1, 1)$ .
$∴$ Required probability = $\frac{6}{216} = \frac{1}{36}$

Q. Three dice are rolled once. The chance of getting a score of 5 is

2165​

61​

361​

721​