There are two integers from 1 through 40 and are chosen by a random number generator.

Question

Write the final answer in a/b form.

1.) P(the same number is chosen twice)
2.) P(both numbers are less than 30)
3.) P(one number is even and one number is odd)
4.) P(both numbers are even)

Answer 1

1/40^2

2) 3/4 ^2

3) pr(even or odd)*pr(odd or even)
1/2
note the pr first is odd, secnd is even is 1/4, but the pr first id even, second is odd is 1/4, adding them, 1/2

4) 1/2*1/2

Answer 2

SO, would I have to square #1 and 2 to get my answer?

Answer 3

yes.
a) 1/40 * 1/40

Answer 4

So, would #2 be 6/4=3/2?

Answer 5

3/4 times 3/4 is 9/16

Answer 6

And that's in the simplest form?