SOLUTION: A carton of eggs has 3 bad eggs and 9 good eggs. If an omelette is made of 3 eggs randomly selected from the carton, a)what is the probability of having at least one bad egg in th

Question 810783: A carton of eggs has 3 bad eggs and 9 good eggs. If an omelette is made of 3 eggs randomly selected from the carton,
a)what is the probability of having at least one bad egg in the omelette?
b)what is the probability of having exactly 2 bad eggs in the omelette?
c)compute E(x^2)-[E(x)]^2
Answer by oscargut(2103) (Show Source): You can put this solution on YOUR website!
a) P(at least 1 bad egg) = 1-P(no bad eggs) = 1- (9C3)/(12C3) = 1-84/220
= 1- 21/55 = 34/55
Answer: 34/55
b) P(2 bad eggs) = (3C2)(9C1)/(12C3) = 27/220
ANswer: 27/220
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Thanks
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