If you select two cards from a pile of cards numbered 1 to 10, what is the probability that the sum of the numbers is more than 17?  Choose the correct choice from the following:
A) 1/5
B) 1/10
C) 2/15
D) 1/45
E) 2/45
The number of ways to choose two cards is 10C2=45.   There are 2 ways, {9,10} and {8,10}, to get a sum more than 17.   P(sum more than 17)=2/45   The answer is 2/45.
<result>E</result>
If you select two cards from a pile of cards numbered 1 to 10, what is the probability that the sum of the numbers is more than 17?