Final answer:
To find the probability that the sum of two dice is less than 10 using the complement rule, subtract the probability of the sum being greater than or equal to 10 from 1.
Step-by-step explanation:
To find the probability that the sum of the dice is less than 10 using the complement rule, we need to find the probability that the sum is greater than or equal to 10 and subtract it from 1. Since there are a total of 36 possible outcomes when two dice are rolled, we need to find the number of outcomes where the sum is greater than or equal to 10.
To find this, we can list out all the possible outcomes and count the number of outcomes where the sum is greater than or equal to 10:
- (4, 6)
- (5, 5)
- (5, 6)
- (6, 4)
- (6, 5)
- (6, 6)
There are 6 outcomes where the sum is greater than or equal to 10. Therefore, the probability that the sum is less than 10 is 1 - (6/36) = 30/36 = 5/6.