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

Correct Answer: 91

Explanation:

When three 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
∴ Number of possible outcomes in which atleast one dice shows 2 = 216 - 125 = 91

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