SOLUTION: HI KINDLY HELP ME IN SOLVING THIS QUESTION,, Male Female Total Professor 12 3 15 Associate professor 15 9 24 Assistant professor 18 8 26 Instructor 20 15 35 To

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Question 867195: HI
KINDLY HELP ME IN SOLVING THIS QUESTION,,
Male Female Total
Professor 12 3 15
Associate professor 15 9 24
Assistant professor 18 8 26
Instructor 20 15 35
Total 65 35 100
a) If a committee of three faculty members is selected at random what is the probability that:
i) All females.
ii) A professor and two associate professors.

THANKS

Found 2 solutions by MathLover1, ewatrrr:
Answer by MathLover1(20849) (Show Source):
You can put this solution on YOUR website!
The classification of faculty at a college is indicated in the following table:
.........................Male Female Total
Professor................
Associate professor......
Assistant professor.....
Instructor........
Total.............
a) If a committee of three faculty members is selected at random what is the probability that:
i) All females:

# of ways to select female faculty members is
# pf ways to select random faculty members is
------------
Answer is:
ii) A professor and two associate professor:

# of ways to select a professor () and 2 associates profs ():
# of ways to select random faculty members:
-----------
Answer is:

Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!

Hi
Male Female Total
Professor 12 3 15
Assoc prof 15 9 24
Assit prof 18 8 26
Instructor 20 15 35
Total 65 35 100
a) If a committee of three faculty members is selected at random what is the probability that:
i) All females. = .0405
ii) A professor and two associate professors.