| easy | probability |
How do you place 50 good candies and 50 rotten candies in two boxes such that if you choose a box at random and take out a candy at random, it better be good!
We need to maximize the probability of getting a good candy when selecting a random box and a random candy from it.
Placing all bad in 1 box and all good in another will give the probability of 0.5, which is not the maximum.
Place 1 good candy in one box and all the remaining (49 good and 50 rotten candies) in the second box.
Place 1 good candy in one box and all remaining (49 good and 50 rotten candies) in the second box.
This will give a probability of