Pair-a-Diceby Max Glaser, Nicholas Man and Alvin Tse

1

Dice Game!

Muhammed wins if the number of the first die (with numbers 1-6) is a factor of the second die (with numbers 7-12).

A%y wins if one is an odd number and the other is even.

2

Muhammed’s chances(1,7)(1,8)(1,9)(1,10)(1,11)(1,12)

(2,8)(2,10)(2,12)

(3,9)(3,12)

(4,8)(4,12)

(5,10)

(6,12)

15 chances of him winning(5 chances of them both winning)

= 10 chances of him winning

3

Ally’s chances(1,8)(1,10)(1,12)

(2,7)(2,9)(2,11)

(3,8)(3,10)(3,12)

(4,7)(4,9)(4,11)

(5,8)(5,10)(5,12)

(6,7)(6,9)(6,11)

18 chances of her winning(5 chances of them both winning)

= 13 chances of her winning

4

Both losing numbers

(3,7), (3,11)

(4,10)

(5,7)(5,9)(5,11)

(6,8)(6,10)

5

So...

The chance of Muhammed winning is 10/36 = 28%

The chance of A%y winning is 13/36 = 36%

The chance of a tie is 13/36 = 36%

The game is not fair :(

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The end

And sorry Muhammed

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