There are `8` times `8 = 64` combinations to examine.

If one die is `1` , then even with an `8` on the other die, no combinations will work.

If one die is `2` , then even with an `8` on the other die, no combinations will work.

If one die is `3` , then even with an `8` on the other die, no combinations will work.

If one die is `4` , then even with an 8 on the other die, no combinations will work.

If one die is `5` , then the other die must be an `8` to have a product over `36` . Thus, `(5,8)` works.

If one die is `6` , then the other die must be either `7` or `8` to have a product over 36. Thus, `(6, 7)` and `(6, 8` ) both work.

If one die is `7` , then the other die can be `6` , 7, or `8` to have a product over `36` . Thus, `(7, 6), (7, 7)` , and `(7, 8)` all work.

If one die is `8` , then the other die can be 5, 6, 7, or `8` to have a product over `36` . Thus, `(8, 5), (8,6), (8,7),` and `(8,8)` work.

There are a total of `1 + 2 + 3 + 4 = 10 ` combinations that work out of a total of `64` possibilities.

Thus, the answer is `10/64 = 5/32`