Suppose that 40% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?
Suppose that 40% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?
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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Transcribed Image Text:**Question:**
Suppose that 40% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?
**Instruction:**
Give your answer as a decimal rounded to 4 places.
**Explanation:**
To find the probability that both people own a dog, calculate the probability for each individual case and multiply them together because these are independent events.
Probability for one person = 0.40
For two people: \(0.40 \times 0.40 = 0.16\)
Therefore, the probability that both people own a dog is 0.1600 when rounded to four decimal places.
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