Multiple choice

Two dice are rolled. Find the probability that exactly one dice shows 5.

  1. 4/17

  2. 5/18

  3. 5/36

  4. 1/4
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B Correct answer
Explanation

The total outcomes when rolling two dice are 36. The outcomes where exactly one die shows 5 are (5,1), (5,2), (5,3), (5,4), (5,6), (1,5), (2,5), (3,5), (4,5), (6,5). There are 10 such outcomes, so the probability is 10/36 = 5/18.

AI explanation

When two dice are rolled, the total number of outcomes is 36, and the favorable outcomes for exactly one 5 are (1,5), (2,5), (3,5), (4,5), (6,5), (5,1), (5,2), (5,3), (5,4), and (5,6). The actual probability is 10/36, which simplifies to 5/18.

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