Question

Two dice are rolled. What is the probability that the sum of the numbers rolled is either 2 or 10? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Answer 1

[AI-generated answer — Bot GPT 3.5]

There are a total of 36 possible outcomes when rolling two dice (6 sides on each die).

To find the probability of rolling a sum of 2, we need to find the number of ways to roll a 2. This can only be achieved by rolling a 1 on both dice, which is 1 way.

To find the probability of rolling a sum of 10, we need to find the number of ways to roll a 10. This can be done by rolling a 5 and a 5, which is 1 way.

Therefore, the total number of ways to roll either a sum of 2 or 10 is 1 (rolling a 2) + 1 (rolling a 10) = 2 ways.

The probability of rolling a sum of 2 or 10 is 2/36 = 1/18 or approximately 0.055556 rounded to the nearest millionth.