You are playing a game that involves rolling** two fair dice** (number cubes) numbered 1 through 6.

If the score for one roll of the game is the **PRODUCT** of the two numbers on the dice, what are the smallest and largest possible outcomes? What is the expected value for the outcome? **Show your work! **

Guest May 20, 2018

#1**+2 **

Hey Guest!

The smallest is with the two smallest numbers on the die, 1 * 1 = 1.

The largest is with the two largest numbers on the die, 6 * 6 = 36.

All we need to do is find the expected value for one die, then do what the problem asks us to do.

\(\frac{1+2+3+4+5+6}{6}=3.5\),

We already got the expected value for one die, the product is just:

\(3.5\cdot3.5=\boxed{12.25}\)

I hope this helped,

Gavin

GYanggg May 20, 2018