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The faces of an octahedral die are labeled with digits 1 through 8. What is the probability, expressed as a common fraction, of rolling a sum of 15 with a pair of such octahedral dice?

 Oct 17, 2022
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The faces of an octahedral die are labeled with digits 1 through 8. What is the probability, expressed as a common fraction, of rolling a sum of 15 with a pair of such octahedral dice? 

 

 

There are 64 possible combinations of rolls:        8 x 8 = 64 

 

But there are only two ways to roll a 15:               7,8 and 8,7  

 

So the likelihood of rolling a 15 is 2 out of 64:      2/64 reduces to 1/32  

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 Oct 17, 2022

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