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Suppose that 50% of people have dogs. If two people are randomly chosen, what is the probability that they both have a dog? Write your answer as a percent and round to the nearest hundredth of a percent. There is a % chance the two randomly chosen people both have dogs.

Question

Suppose that 50% of people have dogs. If two people are randomly chosen, what is the probability that they both have a dog? Write your answer as a percent and round to the nearest hundredth of a percent.

There is a % chance the two randomly chosen people both have dogs.

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Solution

The probability of one person having a dog is 50%, or 0.50 in decimal form. Since the two events are independent (one person having a dog doesn't affect the other person having a dog), you can find the probability of both events happening by multiplying the probabilities together.

So, the probability of both people having a dog is 0.50 * 0.50 = 0.25, or 25%.

Therefore, there is a 25% chance the two randomly chosen people both have dogs.

This problem has been solved

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