You buy a bag of 8 candies, of which 3 are chocolates, but all candies look alike. You eat candies from the bag until you have eaten all three chocolates. What is the probability you will have eaten exactly 7 of the candies in the bag?
This is the same as the probability you've eaten 2 chocolates in 6 candies, and eat the 3rd chocolate on the 7thP[eaten 2 chocolates in 6 candies]=(32)(54)(86)=1528P[7th candy eaten is chocolate |2 chocolates already eaten]=12P=152812=1556