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You toss two standard, fair, six-side dice.  There are 36 different results when tossing the two die.  How many of those 36 possibilities will result in a total value that is divisible by either two or three?  In other words, if you roll a 4 and 6 the total value is 10 and that is divisible by 2.  If you roll a 3 and a 4 the total value is 7 and that is not divisible by 2 or 3.

 Aug 20, 2020
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11 , 12 , 13 , 15 , 21 , 22 , 24 , 26 , 31 , 33 , 35 , 36 , 42 , 44 , 45 , 46 , 51 , 53 , 54 , 55 , 62 , 63 , 64 , 66 , Total =  24

 

 

Probability =24 / 36 = 2 / 3

 Aug 20, 2020

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