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?

Answer 1

i like that answer, yes

Answer 2

also compute via
\[\frac{\binom{8}{4}}{\binom{32}{4}}\] but there is no reason to change your answer

Answer 3

A person is selected at random from a population that has the following characteristics:
65% of the people are men; the others are women
12% of the men are smokers
7% of the women are smokers

a. Find the chance that the selected person is a non-smoker, given that the person is a man.
b. Find the chance that the selected person is a woman who smokes.
c. Find the chance that the selected person is a smoker.
d. Given that the selected person is a smoker, what is the chance that the person is a woman?
e. Find the chance that the selected person is a man or a non-smoker.

Answer 4

Solution
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