Question

There are 3636 chocolates in a​ box, all identically shaped. There 1212 are filled with​ nuts, 99 with​ caramel, and 1515 are solid chocolate. Someone randomly selects one​ piece, eats​ it, and then selects a second piece. Find the probability of selecting 2 nut candies. Express your answer as a simplified fraction

Answer 1

1211/10905

Explanation:

In the beginning, the probability to pick a nut piece is 1212/3636. Once you eat it you have 3635 candies left, of which 1211 are nuts, and therefore the probability to pick nut again is 1211/3635.

So, the combined probability is 1212/3636 * 1211/3635 = 1/3 * 1211/3635 = 1211/(3*3635) = 1211/10905