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# What number should we remove if we wish to maximize the probability that the sum of the two chosen numbers is 10?

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43
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+8

We are allowed to remove exactly one integer from the list {-1,0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,11}, and then we choose two distinct integers at random from the remaining list. What number should we remove if we wish to maximize the probability that the sum of the two chosen numbers is 10?

Hi! I was wondering how to tackle this problem.  Unforunately, I got stuck. :(

Any help would be super appreciated!

starsinajar  Apr 16, 2018
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#1
+229
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I think I know the answer 11 plus -1 is 10 so you can remove 1

Nerd123  Apr 16, 2018
#2
+85726
+1

Here's my "seat of the pants" answer

We should remove 5

Reason :  Every other number can be paired with another number to give a sum of 10....5 cannot be paired with any other number to give a sum of 10

CPhill  Apr 16, 2018

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