SOLUTION: A pigpen contains 7 male pigs and 4 female pigs. Three pigs are randomly drawn (w/o replacement). a. What is the total number of samples (sequences) in which the first and last

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Question 865624: A pigpen contains 7 male pigs and 4 female pigs. Three pigs are randomly drawn (w/o replacement).
a. What is the total number of samples (sequences) in which the first and last pigs drawn will be males (the second pig can be male or female).
b. What is the probability that all three pigs drawn will be female?
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

A pigpen contains 7 male pigs and 4 female pigs.  

Three pigs are randomly drawn (w/o replacement).

P(1st and last male) = +%287%2F11%29%284%2F10%29%286%2F9%29%2B+%287%2F11%29%286%2F10%29%285%2F9%29+

P(3 females) = %284%2F11%29%283%2F10%29%282%2F9%29