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

I think I know the answer 11 plus -1 is 10 so you can remove 1

Nerd123  Apr 16, 2018

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



cool cool cool

CPhill  Apr 16, 2018

20 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.