The probability that Emma has heart disease is 0.6. She decides to take a test for the disease that is 80% accurate. What is the probability that Emma has heart disease and the test predicts heart disease?

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The probability that Emma has heart disease is 0.6. She decides to take a test for the disease that is 80% accurate. What is the probability that Emma has heart disease and the test predicts heart disease?

Geometry
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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i need an explanation too
Ok here we have 2 independent events, you can find prob that both are true by multiplying the probabilities \[P(A and B) = P(A)*P(B)\] \[= P(heart disease) * P(test accurate)\] \[= 0.6* 0.8\]

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