2 dice

A pair of dice is rolled. Find the probability of rolling a sum of not less than 5. The phrase not less than also means greater than or equal to. So we use our 2 dice calculator for a sum roll of 5 or greater and we get: 5/6

Use our 2 dice calculator, you have 2 ways to roll an 11 (5, 6) --> P(5, 6) = 1/36 (6, 5)--> P(6, 5) = 1/36 We want P(5, 6) + P(6, 5): P(5, 6) + P(6, 5) = 1/36 + 1/36 P(5, 6) + P(6, 5) = 2/36 P(5, 6) + P(6, 5) = 1/18

The only way you can roll a 12 with two dice is 6 and 6. Since each die roll is independent, we have: P(12) = P(6) * P(6) P(12) = 1/6 * 1/6 P(12) = 1/36. Now, what is the probability we roll a 12 five times in a row? The same rules apply, each new roll is independent of the last, so we...