Multiple choice

Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is

  1. 1/9

  2. 2/9

  3. 1/3

  4. 4/9
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B Correct answer
AI explanation

To find the probability that the product is a perfect square, first determine the total possible outcomes when rolling two dice, which is 36. The favorable outcomes where the product of the top faces is a perfect square are (1, 1), (1, 4), (2, 2), (3, 3), (4, 1), (4, 4), (5, 5), and (6, 6), totaling exactly 8 combinations. The probability is calculated by dividing the favorable outcomes by the total outcomes, yielding 8 divided by 36. This simplifies to 2/9. The answer is 2/9.

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