NDA Mathematics Question (2026) — Solution

Step-by-step solution

Total number of outcomes when four dice are rolled is 6^4 = 1296. Let x_1, x_2, x_3, x_4 be the numbers on the four dice. The required condition is x_1 + x_2 + x_3 + x_4 23. Since the maximum possible sum is 24, the possible values for the sum are 23 and 24. For the sum to be 24, all four dice must show 6. Number of ways = 1 For the sum to be 23, three dice must show 6 and one die must show 5. Number of ways = 4! 3!1! = 4 Total number of favorable outcomes = 1 + 4 = 5. Required probability = 5 1296 . Answer: 5 1296