First slide

Combinations

Question

Three dice are rolled. The number of possible outcomes in which at least one die shows 6 is

Difficult

A

215
B

36
C

125
D

91

Solution

Total number of outcomes $= 6 \times 6 \times 6 = 216$
Number of outcomes in which none of the dice shows $6 = 5 \times 5 \times 5 = 125$

$∴$ Number of outcomes in which at least one die shows $6 = 216 - 125 = 91$

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