Question

Two fair, six-sided dice both have sides labelled 1, 2, 3, 4, 5 and 6 Both dice are rolled and the sum of the scores on the two dice is recorded. What is the probability that the recorded score is more than 10? a) 2/12 b) 3/12 c) 3/36 d) 6/36​

Answer 1

• C) 3/36

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We need to determine the total number of outcomes and the number of favorable outcomes.

Total outcomes:

• Each die has 6 sides, so there are 6 x 6 = 36 possible outcomes when rolling two dice.

Favorable outcomes:

• To get a sum greater than 10, the only combinations are (5,6), (6,5), and (6,6). There are 3 favorable outcomes.

To find the probability, divide the number of favorable outcomes by the total number of outcomes:

• Probability = (favorable outcomes) / (total outcomes)
• Probability = 3/36 = 1/12

The matching choice is C.