problem 253 mathcounts

Mathematics
Tutor: None Selected Time limit: 1 Day

Two standard six-sided dice are to be rolled. If the sum is an even number greater than 7, then what is the probability that both dice are even? Express your answer as a common fraction.

Oct 19th, 2014

The possible outcomes for a total>7 

are { (2,6), (6,2), (3,5), (3,6), (5,3), (5,6),(4,4), (4,5), (4,6),(5,4),(6,4),(5,5), (5,6), (6,5), (6,6)} 

= 15 outcomes

6 of these have two even numbers

Hence (both even and total >7) = 6/15 =2/5


Oct 19th, 2014

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Oct 19th, 2014
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Oct 19th, 2014
Dec 5th, 2016
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