In: Statistics and Probability
Rework problem 35 from the Chapter 2 review exercises in your text, involving auditioning for a play. For this problem, assume 11 males audition, one of them being Seamus, 4 females audition, one of them being Nisha, and 5 children audition. The casting director has 4 male roles available, 2 female roles available, and 2 child roles available.
(1) How many different ways can these roles be filled from these auditioners?
(2) How many different ways can these roles be filled if exactly
one of Seamus and Nisha gets a part?
(3) What is the probability (if the roles are filled at random) of
both Seamus and Nisha getting a part