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Two sides of a nondegenerate triangle measure 2'' and 4'' and the third side measures some whole number of inches. If a cube with faces numbered 1 through 6 is rolled, what is the probability, expressed as a common fraction, that the number showing on top could be the number of inches in the length of the third side of the triangle?

AdminMod2  Aug 10, 2017
edited by Guest  Aug 10, 2017
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The only possibilities for the third side of the triangle are  5, 4 and 3

 

And the probability of rolling a 3, 4 or 5  in a single roll  =   (1/6) + (1/6) + (1/6)  = 3/6  = 1/2

 

 

cool cool cool

CPhill  Aug 10, 2017

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