A group of applicants for a position consists of 8 people who are qualified and 7 whoa are not. If we select two people at random to be interviewed (obviously without replacement), find the probability that we get:

a. two qualified people
b. one qualified and one unqualified person (think about different ways this could happen).
c. At least ONE qualified person. Hint: Use the complement law.

for a)i got the answer 4/15. 8/15*7/14
for b) i got the same answer

for c) the prob of picking both unqualified is 7/15*6/14= 1/5 so using complement would mean that i would take 1-1/5 to get 4/5???

1 answer

The first two answers are right.

For C, to get "At least ONE qualified person," you want the probability for one qualified person plus the probability for two qualified persons.

I hope this helps. Thanks for asking.