Two fair, six-sided dice are tossed 216 times, and the sum of the numbers on the dice is noted each time. What is the expected number of times the sum will be 3?

Question

What is the expected number of times the sum will be 3?

Answer 1

There are 36 (6*6) possible outcomes for each roll and two of those possibilities (1,2 and 2,1) add up to 3. Therefore, based on the probability, you would expect 216 * 2/36 = 432/36 ≈ 12.1 or 12 times for 3 to come up.