Math Problem Statement
A group of people were asked whether they owned a dog. The number of people that owned a dog was 215, and 461 responded that they didn't own a dog. Find the probability that if a person is chosen at random, he/she own a dog. Round your answer to two decimal places.
Solution
To find the probability that a randomly chosen person owns a dog, we use the formula for probability:
We are given:
- Number of people who own a dog = 215
- Number of people who don't own a dog = 461
So, the total number of people surveyed is:
Now, calculate the probability:
Rounded to two decimal places, the probability is:
Final Answer: 0.32
Would you like a more detailed explanation or have any questions about this?
Here are 5 related questions:
- What is the probability that a randomly chosen person does not own a dog?
- If 1000 people were surveyed, how many would you expect to own a dog?
- What would happen to the probability if the number of dog owners increased by 50?
- How would you calculate the odds of owning a dog instead of the probability?
- How does the probability change if some people did not respond to the survey?
Tip: Always verify that the total number of outcomes in probability includes all possible responses, such as both owning and not owning a dog in this case.
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Math Problem Analysis
Mathematical Concepts
Probability
Ratios
Basic Arithmetic
Formulas
P(event) = Number of favorable outcomes / Total number of outcomes
Theorems
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Suitable Grade Level
Grades 6-8
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