Multiple choice

Two fair dice are thrown. What is the probability that the number of dots on the first dice is greater than 3 and that on the second is greater than 4?

  1. 5 6

  2. 5 36

  3. 1 6

  4. 1 9

  5. 1 3

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Probability of first die > 3 is 3/6 = 1/2 (outcomes 4, 5, 6). Probability of second die > 4 is 2/6 = 1/3 (outcomes 5, 6). Total probability = 1/2 * 1/3 = 1/6.

AI explanation

The condition requires the first dice to show a number greater than 3, giving 3 favorable outcomes (4, 5, 6). The second dice must show a number greater than 4, giving 2 favorable outcomes (5, 6). Using the multiplication rule of probability for independent events, the combined probability is 3/6 multiplied by 2/6, which equals 1/6.