Question

Natalie wrote a computer program that generates two random numbers from one to 11. When she runs it, what is the probability that both values will be more than 8? Write your probability answer as a fraction.

Answer 1

Explanation:

There are a lot of ifs in this problem. The generator has to be a fair one. Any one of the 11 numbers must be equally likely to happen. Second, the sequence must not be the same each time she turns it on. Assuming both are true, then the numbers she will get are

9 10 11 for one number

9 10 11 for the other number

P(x>8) = 3/11 * 3/11 = 9/121