In a group of 21 aliens, there are 6 Cybermen, 7 Daleks and 8 Jovians. (a)  Suppose that 5 aliens are randomly chosen without replacement. Find the probability that at most 2 Cybermen are chosen. (b)  Suppose that 4 aliens are randomly chosen without replacement and it is known that 2 Cybermen are chosen. Find the probability that at least 1 Dalek is chosen. (c) Suppose that 4 aliens are randomly chosen without replacement and it is known that at least 2 Daleks are chosen. Find the probability that no Jovian is chosen.

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