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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!  ‚Äč

Guest May 20, 2018
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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

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