Multiple choice

Two dice are thrown. Find the probability that the product of two numbers received is even.

  1. 3 4

  2. 1 2

  3. 1

  4. 1 4

  5. 2 3
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A Correct answer
Explanation

The product is odd only when both dice show odd numbers. That probability is (3/6)(3/6) = 1/4, so the probability of an even product is 1 - 1/4 = 3/4.

AI explanation

When two dice are thrown, the total number of possible outcomes is 36. The product of two numbers is even unless both numbers are odd, so we calculate the probability of both dice showing odd numbers. There are 3 odd numbers between 1 and 6, meaning there are 3 multiplied by 3, or 9, outcomes where both numbers are odd. The probability of an even product is then found by subtracting the probability of an odd product from 1, calculated as 1 minus the fraction 9/36. This simplifies to 1 minus 1/4, which equals 3/4.

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