Question

The probability of rolling two fair number cubes and getting a sum greater than 10 is 1/12. If you repeat the experiment 180 times, predict how many times you will get a sum that is 10 or less.

Answer 1

The probability of getting a sum greater than 10 when rolling two fair number cubes is 1/12. Therefore, the probability of getting a sum of 10 or less is 1 - 1/12 = 11/12.

If you repeat the experiment 180 times, the expected number of times you will get a sum of 10 or less is:

(11/12) * 180 = 165

Therefore, you can expect to get a sum of 10 or less approximately 165 times when rolling two number cubes 180 times.