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George has a pair of unusually labelled dice. One die is labeled with the numbers 1, 2, 2,3, 3, and 4. The other die is labelled with the numbers 1, 3, 4, 5, 6, and 8. He rolls both dice at random. What is the probability that the sum of the numbers is 6?

 Jun 8, 2020
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You add up all the possible combinations of  the sums of any two dice, sort them in numerical order and see how many "6's" are possible out of a total of 6^2 = 36. if you do that, this is what you will see:

 

(2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 11, 11, 12) Total =>> 36

 

 

Count the number of "6's" and you get: 5 / 36.

 Jun 8, 2020

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