A child mixes 10 good and three dead batteries. To find the dead batteries, his father tests them one by one and without replacement. What is the probability that the fifth battery is dead? If the first four batteries tested are all good, what is the probability that the fifth one is dead?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 50E: Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the...
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A child mixes 10 good and three dead batteries. To
find the dead batteries, his father tests them one
by one and without replacement.
What is the probability that the fifth battery is
dead?
If the first four batteries tested are all good, what
is the probability that the fifth one is dead?
Transcribed Image Text:A child mixes 10 good and three dead batteries. To find the dead batteries, his father tests them one by one and without replacement. What is the probability that the fifth battery is dead? If the first four batteries tested are all good, what is the probability that the fifth one is dead?
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For part a, you did not consider the possibility that the dead batteries being taken out in the previous tests. For example what if the dead battery was taken out in the first try, etc.

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