In a Christmas party game, everyone is given a bag that contains five mini package of chocolates (C) and ten mini packages of gummy bears (B).Everyone should draw seven package randomly without replacement.

i. What is the probability that you get exactly 7 package of gummy bears?

ii. What is the probability that you get at least three package of chocolates?

iii. If x denotes the proportion of chocolates in the sample, what is the mean of x?

iv. If the 5 chocolates are of different shapes and the 10 gummy bears are of different color, given that you draw only 3 packages from the bag, how many combinations of chocolates and gummy bears can you choose from?