Question

I am with a group of five of my friends. A box contains 8 pieces each of milk chocolate, white chocolate, and dark chocolate. The box is passed around the six of us, with each person taking 4 pieces. Assume that each person chooses at random without replacement from the available pieces. I am the last person to whom the box is passed. Find the chance that I pick 4 dark chocolates.

Answer 1

can any one pls ans the above question

Answer 2

i finally figured it out. it is quite simple if you really understand what we are looking for. we have to find the chance i pick 4 dark chocolates in a row is the same as drawing 4 cards with the same suit (try thinking the chocolates as a deck of cards). so the chance is 8/24*7/23*6/22*5/21. the fact that i draw last does not change the probability because the previous picks are uncoditional to my picks.