Ok, my friends and I have puzzled over this for a bit and failed to come to a satisfactory answer.

There's a one hundred sided die. The chances of it landing on any number from 1 to 100 is 100 to 1.

The chances of getting a 97 are 1/100.

So if the die is rolled 100 times, what are the chances that a 97 will have come up? It cant be 100 x 1/100 because that would be 1 and therefore a certainty, which it cant be.

Any ideas?