You ask your neighbor to water a sickly plant while you are on vacation. Without water, it will die with probability 0.8; with water it will die with probability 0.15. You are 90 percent certain that your neighbor will remember to water the plant. (a) What is the probability that the plant will be alive when you return? (b) If the plant is dead upon you return, what is the probability that your 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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2. You ask your neighbor to water a sickly plant while you are on vacation. Without water, it will die with probability 0.8; with water it will die with probability 0.15. You are 90 percent certain that your neighbor will remember to water the plant. (a) What is the probability that the plant will be alive when you return? (b) If the plant is dead upon you return, what is the probability that your neighbor forgot to water it?
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2) Answer:- Here given,

The probability of plant will die without water is  0.8. So, p( alive) = 1-0.8

The probability of plant will die with water is 0.15 . So, p( alive) = 1-0.15

P( water the plants) = 90% = 0.90 

P( not water the plants) = (1-0.90)

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