SOLUTION: If 3 of 440 people. are randomly selected without replacement, find the probability that at least one is a non-smoker. a - 0.7433 b - 0.6364 c - 0.9525 d - 0.0475 Total no

Algebra ->  Probability-and-statistics -> SOLUTION: If 3 of 440 people. are randomly selected without replacement, find the probability that at least one is a non-smoker. a - 0.7433 b - 0.6364 c - 0.9525 d - 0.0475 Total no      Log On


   

Question 912192: If 3 of 440 people. are randomly selected without replacement, find the probability that at least one is a non-smoker.
a - 0.7433
b - 0.6364
c - 0.9525
d - 0.0475
Total non-smoker is 280
Teacher says the answer is "c". I can not get to this answer with any formula I try
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find the probability that none are non-smokers.
P=%28160%2F440%29%28160%2F440%29%28160%2F440%29
P=0.048084
So the complement of none are non-smokers is that one must be a non-smoker and
P%2BP%281_NS%29=1
P%281_NS%29=1-P
P%281_NS%29=1-0.048084
P%281_NS%29=0.951916