You ask a neighbor to water a sickly plant while you are on vacation. Without water the plant will die with probability 0.85. With water it will die with probability 0.4. You are 82 % certain the neighbor will remember to water the plant.You come back from the vacation and the plant is dead. What is the probability that the plant died because neighbor forgot to water it?

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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You ask a neighbor to water a sickly plant while you are on vacation. Without water the plant will die with probability 0.85. With water it will die with probability 0.4. You are 82 % certain the neighbor will remember to water the plant.
You come back from the vacation and the plant is dead. What is the probability that the plant died because neighbor forgot to water it?

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