Question 1108465
If {{{x=y}}} is allowed, there are {{{4*4=16}}} possible {{{xy}}} products.
That is not too many, so we can make a table:
{{{matrix(7,6,
"x =",1,2,3,4," ",
" ","---","--- "," ---","--- "," ",
" ",1,2,3,4,"| 1",
" ",2,4,6,8,"| 2",
" ",3,6,9,12,"| 3",
" ",4,8,12,16,"| 4",
" "," "," "," "," ","| y ^")}}}
Only the 6 products in the lower right corner (8, 9, 12, 8, 12,16) are greater than 6.
The remaining {{{16-6=10}}} products are "not greater than 6."
The fraction of possible products "not greater than 6"
is {{{10/16=5/8=0.625="62.5%"}}} ,
and that is the probability that the product of x and y is not greater than 6.