Determine the probability that someone who is using the lie detector is innocent if the lie detector says that he is lying.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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10 friends gather around in order to try out a lie detector that they purchased. From previous experience, it is known that the lie detector is 70% reliable when used on a lying person and 90% reliable when used on someone who is innocent. Out of the 10 friends present, only 4 decide to lie. Determine the probability that someone who is using the lie detector is innocent if the lie detector says that he is lying. 

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