First slide

Introduction to probability

Question

Three identical dice are rolled. The probability that the same number will appear on each of them is

Moderate

A

$\frac{1}{6}$
B

$\frac{1}{36}$
C

$\frac{1}{18}$
D

$\frac{3}{28}$

Solution

Favorable cases are {(1, 1, 1), (2,2,2), .……. (6,6,6)}.
The number of favorable cases is 6.
The total number cases is 6 x 6 x 6 = 216.
Therefore, the required probability is 1/36.

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