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.
[Math] My last bars of chocolate
probability
Best Answer
The fact that there are 6 people picking is irrelevant. The fact that you pick last is irrelevant. The fact that there are milk and white is irrelevant.
You get 4 chocolates, for them to be all dark you have to choose 4 dark from your 4 choices.
$$p=\frac{8}{24}\frac{7}{23}\frac{6}{22}\frac{5}{21}$$