Question

Three identical dice are rolled. The probability that same

number will appear on each of them will be

• A. $\frac { 1 } { 6 }$
• B. $\frac { 1 } { 36 }$
• C. $\frac { 1 } { 18 }$
• D. $\frac { 3 } { 28 }$

Answer 1

Answer: (B)

$\frac { 1 } { 36 }$

Answer 2

If three identical dice are rolled then total number of sample points $= 6 \times 6 \times 6 = 216$ .

Favourable events (same number appear on each dice) are

(1, 1, 1) (2, 2, 2) ………(6, 6, 6).

∴ Required probability $= \frac { 6 } { 216 } = \frac { 1 } { 36 }$ .