Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of thec2 dice is the following enter as a fraction at least 8
There are a total of 6 * 6 = 36 possible outcomes when rolling two dice.
Let's find the number of outcomes where the sum of the upward faces is at least 8. There are the following possibilities:
- Sum is 8: (2, 6), (3, 5), (4, 4), (5, 3), (6, 2), for a total of 5
- Sum is 9: (3, 6), (4, 5), (5, 4), (6, 3), for a total of 4
- Sum is 10: (4, 6), (5, 5), (6, 4), for a total of 3
- Sum is 11: (5, 6), (6, 5), for a total of 2
- Sum is 12: (6, 6), for a total of 1
So there are a total of 5 + 4 + 3 + 2 + 1 = 15 possible outcomes where the sum of the upward faces is at least 8.
The probability of this occurring is 15/36 = 5/12.