Multiple choice

A die is rolled thrice. Find the probability of getting a number less than 5 in each case.

  1. 5 26

  2. 8 27

  3. 1 18

  4. None of these
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B Correct answer
Explanation

Probability of getting a number less than 5 (1, 2, 3, 4) on one die is 4/6 = 2/3. Since the die is rolled thrice, the probability is (2/3)^3 = 8/27.

AI explanation

Rolling a die thrice gives a total sample space of 6 × 6 × 6 = 216 outcomes. The number of favorable outcomes for getting a number less than 5, meaning 1, 2, 3, or 4, in each of the three rolls is 4 × 4 × 4 = 64. The probability is therefore 64/216, which simplifies to 8/27.

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