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Question
Three dice are rolled. Find the number of possible outcomes in which at least one die shows 5 ?
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Solution
Required number of possible outcomes = (Total number of outcomes - Number of possible outcomes in which 5 does not appear on any of the dice.)
Total number of outcomes when a single dice is rolled = 6
∴ Total number of outcomes when two dice are rolled =`6xx6`
Similarly, total number of outcomes when three dice are rolled =`6xx6xx6=216`
Number of possible outcomes in which 5 does not appear on any dice =`5xx5xx5=125`
∴ Required number of possible outcomes =`216-125=91`
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