Multiple choice

Two dice, one black and one green are thrown simultaneously. Find the probability that the sum of the two numbers appearing on top of the two dice would be equal to: (i) 4 (ii) 14

  1. 1/2, 0

  2. 1/12, 0

  3. 0, 3/5

  4. 1/12, 4/9

  5. None of the above
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B Correct answer
Explanation

For two dice, there are 36 outcomes. Sum 4 occurs for (1,3), (2,2), (3,1), which is 3/36 = 1/12. Sum 14 is impossible with two dice, so the probability is 0.

AI explanation

When two dice are thrown, the total number of possible outcomes is 6 multiplied by 6, which gives 36 combinations. For a sum of 4, the three successful outcomes are (1, 3), (2, 2) and (3, 1), so the probability is 3 divided by 36, or 1/12. The maximum sum possible on two standard dice is 12, meaning the probability of getting a sum of 14 is 0.

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