alyssavwil2514 alyssavwil2514
  • 16-06-2018
  • Mathematics
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Which is more likely: rolling a total of 8 when two dice are rolled or rolling a total of 8 when3 dice are rolled?

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AnnaBeth5
AnnaBeth5 AnnaBeth5
  • 16-06-2018
Proof.
 For two dice, the number of favorable cases is 5: (6, 2);(5, 3);(4, 4);(3, 5);(2, 6); so the probability is 5/36 = 30/216 
 For three dice, the number of favorable cases is 21: (5, 2, 1), (4, 3, 1) counted with all permutations (so 6 2 = 12), and (1, 1, 6), (2, 2, 4), (3, 3, 2), counted with the distinct permutations (so 3 3 = 9). The probability is 21/216 
 So the more likely case is for two dice.
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