Can someone check this for me? Thanks!

Question

Directions: Two integers from 1 through 40 are chosen by a random number generator.
Write your answer as a fraction in simplest form a/b.

P(both numbers are less than 30) (my answer: 9/16)

Answer 1

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

< 30 = 1-29

29/40 * (29-1)/(40-1) ≠ 9/16

Answer 2

multiply and put in simpliest form
5/7 * 3/13