non smoker light smoker heavy smoker total
men 369 33 45 474
women 341 34 41 416
total 737 67 86 890
2 people are randomly selected from 890 . Find probability that they will both be women??
Thanks,
Probability that the first is a woman is 416/890
The probability that the second is a woman given that the first is a woman is
415/889 (that is the number of women left after one has been selected over
the total left)
So the required probability is the product of these, that is:
(416/890)*(415/889)~=0.2182.
RonL