mathcounts problem 42 and 47

label Mathematics
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schedule 1 Day
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1. When rolling two fair, eight-sided dice, each with faces numbered 1 through 8, what is the probability that the two numbers rolled have a sum of 9? Express your answer as a common fraction.

2.What is the product of the GCF and the LCM of 48 and 72?

Dec 28th, 2014

1. lets find the all the combination which sums up to 9.

1+8,2+7,3+6.4+5,5+4,6+3,7+2,8+1 = 8 ways

total no. of combinations with two dice = 8*8 = 64

so, probability of having sum of 9 = 8/64 = 1/8 (answer)

2. GCF of 48 and 72 is 24.
   LCM of 48 and 72 is 144

so product of GCF and LCM = 24*144 = 24*144 (answer)


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Dec 28th, 2014

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