Multiple choice

Two different dice are tossed together. Find the probability (i) that the number on each die is even. (ii) that the sum of numbers appearing on the two dice is 5.

  1. i) $\cfrac 13$ and ii) $\cfrac 18$
  2. i) $\cfrac 12$ and ii) $\cfrac 17$
  3. i) $\cfrac 15$ and ii) $\cfrac 16$
  4. i) $\cfrac 14$ and ii) $\cfrac 19$
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D Correct answer
Explanation

i) Even numbers on two dice: (2,4,6) * (2,4,6) = 9 outcomes. 9/36 = 1/4. ii) Sum 5: (1,4), (2,3), (3,2), (4,1) = 4 outcomes. 4/36 = 1/9.

AI explanation

Using the basic probability formula, the chance of rolling an even number on one die is 3 out of 6, so the probability that both are even is (3/6) multiplied by (3/6), giving 1/4. For a sum of 5, the favorable outcomes are (1, 4), (2, 3), (3, 2), and (4, 1), making the probability 4 out of 36, which simplifies to 1/9.

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