What is the probability that a city in New York State was founded before 1900 and has a population larger than 20,000 people?

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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Out of all the cities in New York State, about 64.5% of them were founded before the year 1900 and roughly 48.4% have a population larger than 20,000 people.  Among the cities with a population larger than 20,000, the probability that the city was founded before the year 1900 is 0.832.

 

What is the probability that a city in New York State was founded before 1900 and has a population larger than 20,000 people?  Round your answer to the nearest thousandth.

 

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