First slide

Theorems of probability

Question

Three dice are rolled, then the probability that at least one digit on the dice must be repeated is

Moderate

A

$\frac{1}{18}$
B

$\frac{4}{9}$
C

$\frac{5}{18}$
D

$\frac{1}{9}$

Solution

$1 - \frac{^{6} P_{3}}{6^{3}} = \frac{4}{9} A t l e a s t o n e d i g i t i s r e p e a t e d = 1 - (p r o b a b i l i t y o f 3 d i g i t s a r e d i f f e r e n t)$

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