Qusetion: A forest contains 30 moose of which six are captured, tagged, and released. A certain time later, five of the 30 moose are captured.
(a) How many samples of size five are possible?
(b) How many samples of size five, which include two of the six tagged moose, are possible?
(c) If the five captured moose represent a simple random sample drawn from the 30 moose (six of which are tagged), find the probability that
(i) two of the five captured moose are tagged and
(ii) none of the five captured moose is tagged.