You ask a neighbor to water a sickly plant while you are on vacation. Without water the plant will die with probability 0.9. With water it will die with probability 0.4. You are 89 % certain the neighbor will remember to water the plant. When you are on vacation, find the probability that the plant will die. Answer:  You come back from the vacation and the plant is dead. What is the probability the neighbor forgot to water it? Answer:  Hint: It might help to fill in a table

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.3: Binomial Probability
Problem 33E
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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 0.9. With water it will die with probability 0.4. You are 89 % certain the neighbor will remember to water the plant.
When you are on vacation, find the probability that the plant will die.
Answer: 

You come back from the vacation and the plant is dead. What is the probability the neighbor forgot to water it?
Answer: 

Hint: It might help to fill in a table. 

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