Two number cubes whose sides are numbered 1 through 6 are rolled on a table. The two numbers showing are added. If you repeat this process 300 times, how many times would you expect the two cubes to add to exactly 7?

1 answer

The probability of rolling a total of 7 with two six-sided dice is 1/6 because there are a total of 36 possible outcomes (6 sides on each die, so 6*6 = 36 total outcomes) and only 6 of those outcomes result in a total of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1).

Therefore, you would expect the two cubes to add to exactly 7 approximately 1/6 of the time. Since you are repeating the process 300 times, you would expect the two cubes to add to exactly 7 approximately 300*(1/6) = 50 times.