Another quiet night at Morty's. Until Alex came in.

I bought a bunch of factory reject dice the other day, he said.
They're OK except the numbers are all wrong. Mostly they have
extra two's and three's, but this one [he held one up, far enough
away so the numbers could not be read] has all different numbers.

Still, the numbers aren't 1-6.

I have a wager for anyone here who thinks he's a genius.
I'll roll the thing three times against that wall over there.
The bottom and back die faces won't be visible, but I'll give
you the sum of the four faces that are visible.

As a bonus, I'll give you the sum of the top and front faces.
I'll buy a pint for anyone who can tell me all six numbers on the die.
If you try and can't figure it out, you'll buy me a pint.

He rolled the die three times and called out the numbers:

Roll #1 = 28 and 18
Roll #2 = 18 and 7
Roll #3 = 22 and 6

Jim thought for a while, then said, no way. There's too many possibilities.
So did Ian and Jamie.
Davey paused to scratch his beard and said, I'll try.

## Question

## bonanova

Another quiet night at Morty's. Until Alex came in.

I bought a bunch of factory reject dice the other day, he said.

They're OK except the numbers are all wrong. Mostly they have

extra two's and three's, but

thisone [he held one up, far enoughaway so the numbers could not be read] has all different numbers.

Still, the numbers aren't 1-6.

I have a wager for anyone here who thinks he's a genius.

I'll roll the thing three times against that wall over there.

The bottom and back die faces won't be visible, but I'll give

you the sum of the four faces that are visible.

As a bonus, I'll give you the sum of the top and front faces.

I'll buy a pint for anyone who can tell me all six numbers on the die.

If you try and can't figure it out, you'll buy me a pint.

He rolled the die three times and called out the numbers:

Roll #1 = 28 and 18

Roll #2 = 18 and 7

Roll #3 = 22 and 6

Jim thought for a while, then said, no way. There's too many possibilities.

So did Ian and Jamie.

Davey paused to scratch his beard and said, I'll try.

Would you have taken the bet?

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