# Explain what is wrong with the following argument: When two balanced dice are rolled, the sum of the dice can be 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, or 12, giving 11 possibilities. Therefore the probability is 1 11 that the sum is 12.

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Explain what is wrong with the following argument: When two balanced dice are rolled, the sum of the dice can be 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, or 12, giving 11 possibilities. Therefore the probability is 1 11 that the sum is 12.

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Step 1

When two balanced dice are rolled then there is total of 36 outcomes and are equally likely and the sample space of possible outcomes is,

Step 2

And the sum of dies can be 2,3,4,5,6,7,8,9,10,11,or 12, giving 11 possibilities. There is only one outcome ...

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