Without replacement, each number has the same probability to being picked. Three numbers have to picked and the must all be under 5 (because the largest has to be 5, or less than 5). So the first number has 5 choices (1 through 5), the second number has to still be less than 5 and has 4 choices (1 through 5 minus number just picked), the last number has 3 choices (1 through 5 minus 2 numbers chosen).

5x4x3=60, So there's 60 different combinations of integers.

I'm thinking that there's 1 through 10 for numbers, there can be 10 options for the first number, 9 for second, 8 for third. 10x9x8=720

So 60/720=0.083. Is this right for the largest being less than or equal to 5?