In a small lake, it is estimated that there are approximately 105 fish, of which 40 are trout and 65 are carp. A fisherman caught eight fish; what is the probability that exactly two of them are trout if we know that at least three of them are not?
In a small lake, it is estimated that there are approximately 105 fish, of which 40 are trout and 65 are carp. A fisherman caught eight fish; what is the probability that exactly two of them are trout if we know that at least three of them are not?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
In a small lake, it is estimated that there are approximately 105 fish, of which 40
are trout and 65 are carp. A fisherman caught eight fish; what is the probability
that exactly two of them are trout if we know that at least three of them are not?
Expert Solution
Step 1
Let A be the event that exactly two out of eight fish caught are trout, and B be the event that at least three out of eight fish caught are not trout.
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