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Suppose that 69% of people in the USA own dogs. If you pick five people at random, what is the probability that they all own a dog?

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To calculate the probability that all five people own a dog, you would need to multiply the probability of one person owning a dog by itself five times, since the events are independent. So, the probability that all five people own a dog would be:

P(all 5 people own a dog) = 0.69^5
=~ 0.157

Therefore, the probability that all five people picked at random in the USA own a dog is approximately 0.157, or 15.7%.
User David Glasser
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