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NDA 2026 · PYQ · Probability / Dice · medium

What is the probability that getting a total of the numbers on the dice is at least 23?

  1. A.1/1296
  2. B.1/432
  3. C.1/324
  4. D.5/1296✓ Correct

Explanation

When 4 dice are rolled, the total number of outcomes is 6^4 = 1296. To get a sum of at least 23, the possible sums are 23 and 24. For sum = 24, all four dice must show 6, giving 1 outcome. For sum = 23, exactly one die shows 5 and the rest show 6, giving 4 outcomes (choosing which die shows 5). Total favorable outcomes = 1 + 4 = 5. Therefore, the probability = 5/1296.
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