Pair-a-Diceby Max Glaser, Nicholas Man andAlvin Tse1
Dice Game!Muhammed wins if the number of the first die (withnumbers 1-6) is a factor of the second die (with numbers7-12).A...
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 wi...
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 chance...
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 ofA%y winning is 13/36 = 36%The chance of a tie is 13/36 = 36...
The endAnd sorry Muhammed7
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Pairadice

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A Math Investigation :)

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Pairadice

  1. 1. Pair-a-Diceby Max Glaser, Nicholas Man andAlvin Tse1
  2. 2. Dice Game!Muhammed wins if the number of the first die (withnumbers 1-6) is a factor of the second die (with numbers7-12).A%y wins if one is an odd number and the other is even.2
  3. 3. 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 winning3
  4. 4. 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 winning4
  5. 5. Both losing numbers(3,7), (3,11)(4,10)(5,7)(5,9)(5,11)(6,8)(6,10)5
  6. 6. So...The chance of Muhammed winning is 10/36 = 28%The chance ofA%y winning is 13/36 = 36%The chance of a tie is 13/36 = 36%The game is not fair :(6
  7. 7. The endAnd sorry Muhammed7

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