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.

Possible Solution:
The probability of picking 4 dark chocolates in the first pick is same as picking 4 dark chocolates in the last pick" the answer should be:
8/24 * 7/23 * 6/22 * 5/21 = 6.58E^-0.3
im ok?

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. 

Possible Solution:
The probability of picking 4 dark chocolates in the first pick is same as picking 4 dark chocolates in the last pick" the answer should be:
8/24 * 7/23 * 6/22 * 5/21 = 6.58E^-0.3
im ok?