Suppose that 55% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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**Problem: Probability of Both Owning a Dog**

Suppose that 55% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?

[Input field for answer]

*(Give your answer as a fraction or decimal rounded to 3 places)*

---

**Explanation:**

To solve this problem, you need to calculate the probability that both people own a dog. Since the probability that one person owns a dog is 55% or 0.55, you will multiply the probabilities for two independent events:

Probability of both owning a dog = Probability (Person 1 owns a dog) × Probability (Person 2 owns a dog) = 0.55 × 0.55 = 0.3025

Therefore, the probability that both people own a dog is 0.3025, or 30.25% when expressed as a percentage.

Make sure to enter this result as a fraction or a decimal rounded to three places in the answer box.
Transcribed Image Text:**Problem: Probability of Both Owning a Dog** Suppose that 55% of people own dogs. If you pick two people at random, what is the probability that they both own a dog? [Input field for answer] *(Give your answer as a fraction or decimal rounded to 3 places)* --- **Explanation:** To solve this problem, you need to calculate the probability that both people own a dog. Since the probability that one person owns a dog is 55% or 0.55, you will multiply the probabilities for two independent events: Probability of both owning a dog = Probability (Person 1 owns a dog) × Probability (Person 2 owns a dog) = 0.55 × 0.55 = 0.3025 Therefore, the probability that both people own a dog is 0.3025, or 30.25% when expressed as a percentage. Make sure to enter this result as a fraction or a decimal rounded to three places in the answer box.
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