Question

A doctor gives a patient a 60​% chance of surviving bypass surgery after a heart attack. If the patient survives the​ surgery, then the patient has a 50​% chance that the heart damage will heal. Find the probability that the patient survives the surgery and the heart damage heals.

Answer 1

let us define the events :-

A : the patient survives bypass surgery after a heart attack

B : the heart damage heals

given data are and some necessary calculations are:-

i).

ii).

the probability that the patient survives the surgery and the heart damage heals is :-

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