Answer:
The answer is below
Step-by-step explanation:
The possible ways of choosing r items from a total of n item is given as C(n,r) =
Suppose that 6 female and 6 male applicants have been successfully screened for 5 positions.
Since they are 12 finalists and only 5 positions, the total number of possible outcomes is:
A) 3 females and 2 males
The possible ways of choosing 3 females and 2 males is given as:
probability of selecting 3 females and 2 males P(E) =
B) 4 females and 1 males
The possible ways of choosing 4 females and 1 males is given as:
probability of selecting 4 females and 1 males P(E) =
C) 5 females
The possible ways of choosing 5 females is given as:
probability of selecting 5 females =
(D) At least 4 females
This can be done by choosing 4 females out of 6 females i.e. C(6,4) , 5 females out of 6 females i.e C(6,5) and 1 male out of six male i.e (6,1)
The possible ways of choosing atleast 4 females is given as:
probability of selecting atleast 4 females =