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At a hardware store, the probability that a customer buys nails is 0.10. The probability that a customer buys nails given that the customer buys a hammer is 0.40.Which statement is true?A.Every customer who buys nails also buys a hammer.B.The probability that a customer buys a hammer and nails is 0.30.C.Buying a hammer and buying nails are dependent events.D.Buying a hammer and buying nails are independent events.SUBMITarrow_backPREVIOUS

Question

At a hardware store, the probability that a customer buys nails is 0.10. The probability that a customer buys nails given that the customer buys a hammer is 0.40.Which statement is true?A.Every customer who buys nails also buys a hammer.B.The probability that a customer buys a hammer and nails is 0.30.C.Buying a hammer and buying nails are dependent events.D.Buying a hammer and buying nails are independent events.SUBMITarrow_backPREVIOUS

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Solution

The correct statement is C. Buying a hammer and buying nails are dependent events.

This is because the probability of a customer buying nails changes depending on whether they have bought a hammer or not. If they have bought a hammer, the probability they will also buy nails increases to 0.40, compared to the overall probability of 0.10. This shows that the two events are not independent, but rather, they are dependent on each other.

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