Multiple choice

Four dice are rolled once. The number of possible outcomes in which at least one dice shows 3 is

  1. 1296

  2. 625

  3. 671

  4. None of these
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C Correct answer
Explanation

Total outcomes for 4 dice = 6^4 = 1296. Outcomes with no 3 = 5^4 = 625. Outcomes with at least one 3 = Total - Outcomes with no 3 = 1296 - 625 = 671.

AI explanation

The total number of possible outcomes when rolling four dice is 6^4, which equals 1296. We need the number of outcomes where at least one die shows 3, which is found by subtracting the outcomes where no die shows 3 from the total. The number of outcomes where no die shows 3 is 5^4, equaling 625. Subtracting this from the total gives 1296 - 625 = 671 possible outcomes.

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