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Consider a set of three standard six-sided dice (labelled with pips). What is the probability that...

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Advance Math

Consider a set of three standard six-sided dice (labelled withpips). What is the probability that the total number of pips shownon three dice thrown at the same time is 11? (I.e., P(11) = ?) Whatis the probability that the total is 12? (I.e., P(12) = ?)
What is the fallacy in the following argument?
The number 11 occurs in six ways: (1,4,6), (2,3,6), (1,5,5),(2,4,5), (3,3,5), (3,4,4). The number 12 also occurs in six ways:(1,5,6), (2,4,6), (3,3,6), (2,5,5), (3,4,5), (4,4,4). Therefore thetwo numbers, 11 and 12, should be equally probable.

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