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Probability of picking a Good Candy
Difficulty Level

50 good candies and 50 rotten candies

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! That means probability of choosing a good candy should be highest.

There is no restriction in putting the candies in 2 boxes. Any number of candies can be put in any box.

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Put the candies as below to have the highest probability of getting a good candy
Box 1 : Put 1 good Candy
Box 2 : Put 49 good candies and 50 rotten candies

Now pick up one random box and one random candy from the box.
The probability will be (1/2)*1 + (1/2)*(49/100)
1/2 + 49/200 = 149/200 = 74.5 %

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