# Thread: one more probability

1. ## one more probability

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,

2. Originally Posted by air2slb
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