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?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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P4_2

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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