Suppose 2 distinct integers are chosen from 1 through 9, inclusive. What is the probability that they are both multiples of 3?
Suppose 2 distinct integers are chosen from 1 through 9, inclusive. What is the probability that they are both multiples of 3?
The multiples of 3 are 3, 6, and 9.
The probability of choosing one of the three of them is 3/9.
Then, the probability of choosing one of the other two is 2/8.
3 2 6 1
The probability of both things happening is –— x –— = –— = –—
9 8 72 12