11

Part of 2014 Harvard-MIT Mathematics Tournament

Problems(1)

2014 Guts #11: Expected Remainder of Product of Dice

Source:

Two fair octahedral dice, each with the numbers

1

8

on their faces, are rolled. Let

N

be the remainder when the product of the numbers showing on the two dice is divided by

8

. Find the expected value of

N

probabilityexpected value