Question

suppose that 45% of people own dogs. if you pick two people at random, what is the probability that they both own a dog? give your answer as a decimal (to at least 3 places) or fraction

Answer 1

0.2025 or 20.25%

Explanation:

The problem says the probability of ONE person having a Dog is 45%

This is 0.45 in decimal form

But what are the chances TWO random people BOTH have Dogs. The chances would decrease!

To find the probability, you need to multiply the probability of one person by the probability of another person. They both have the same probability of having a Dog.

This looks like:

0.45 (person 1) × 0.45 (person 2) = 0.2025

The number of times 0.45 is in the equation above is the same number as the people in the problem!