IliaS279631 IliaS279631
  • 29-10-2022
  • Mathematics
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Two diced are rolled. What is the theoretical probability that the sum is 11

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CallaP230138 CallaP230138
  • 29-10-2022

ANSWER

1/18

EXPLANATION

There are 36 possible outcomes for the two dice: 6 possible outcomes for each die.

The only ways there are for the dice to sum 11, is that the first die is 5 and the second is 6, or the other way around. So, the two favorable outcomes are (5, 6) and (6, 5).

The theoretical probability is,

[tex]P=\frac{\text{favorable outcomes}}{\text{possible outcomes}}=\frac{2}{36}=\frac{1}{18}[/tex]

Hence, the probability that the sum of two rolled dice is 11, is 1/18

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