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A doctor gives a patient a 90% chance of surviving bypass surgery after a heart attack. If the patient survives thesurgery, then the patient has

A doctor gives a patient a 90% chance of surviving bypass surgery after a heart attack. If the patient survives thesurgery, then the patient has a 40% chance that the heart damage will heal. Find the probability that the patient survives the surgery and the heart damage heals.

The probability is ______?

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