Question 1019455: In a process that manufactures aluminum cans, the probability that a can has a flaw on its side is 0.03, the probability that a can has a flaw on the top is 0.07, and the probability that a can has flaw on both the side and the top is 0.01. What is the probability that a can will have a flaw on the side, given that it has a flaw on top? Round your answer to two decimal places.
Answer by mathmate(429)   (Show Source):
You can put this solution on YOUR website!
Question:
In a process that manufactures aluminum cans, the probability that a can has a flaw on its side is 0.03, the probability that a can has a flaw on the top is 0.07, and the probability that a can has flaw on both the side and the top is 0.01. What is the probability that a can will have a flaw on the side, given that it has a flaw on top? Round your answer to two decimal places.
Solution:
S=Event of having a flaw on the side
T=Event of having a flaw on the top
P(S)=0.03
P(T)=0.07
P(S∩T)=0.01
Use conditional probability
P(S|T) [reads Probability of having a flaw on the side given there is a flaw on the top]
= P(S∩T)/P(T) [ by definition of conditional probability]
= 0.01/0.07
=1/7
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