# Suppose that 17% 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 Is it correct answer 0.029?

Suppose that 17% 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 Is it correct answer 0.029?
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Step 1

Given that 17% of the people own dogs, So 83% of people don't own dogs. Therefore, events are mutually exclusive.

P(Both the people own dogs)=P(first person own dogs) $×$ P(second person own dogs)

Step 2

Therefore, probability can be calculated as: P(Both the people own dogs)=0.17 $×$ 0.17 P(Both the people own dogs)=0.0289 Round to three decimals. P(Both the people own dogs)=0.029