Question

An urn contains sixteen red balls and seventeen white balls. A sample of three balls is selected at random and the number of red balls observed.

Determine the probability distribution for this experiment:

Number of Red Balls/Probability
0...Probability=?
1...Probability=?
2...Probability=?
3...Probability=?

Answer 1

Find the sample space which is 16 red + 17 white = 33 total. 33C3 = sample space= 5456
Then do 0 red balls = C(16,0)*C(17,3)/5456
1 red ball = 16c1* 17c2/5456
... so on