Three dice (each having six faces with each face having one number from 1 or 6)

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Question

Three dice (each having six faces with each face having one number from 1 or 6) are ralled. What is the number of possible outcomes such that atleast one dice shows the number 2?

Options:

A . 36

B . 81

C . 91

D . 116

Answer: Option C
WHEN THE DICE ARE ROLLED, THE NUMBER OF POSSIBLE OUTCOMES = 63 = 216.
NUMBER OF POSSIBLE OUTCOMES IN WHICH 2 DOES NOT APPEAR ON ANY DICE = 53 = 125.
THEREFORE, NUMBER OF POSSIBLE OUTCOMES IN WHICH AT LEAST ONE DICE SHOWS 2 = 216- 125 = 91.

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