Question

The batteries to the remote control for your television have just run out. you find your collection of miscellaneous "AA" batteries and grab 2 of them to replace the used ones. The box you used to fish out the replacements contained 14 batteries, but you were unaware that 5 of them were faulty and did not work.

if the remote control requires two good batteries to operate properly, what is the probability that the remote control now works properly?