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@Cenotaph Nope, say the first doctor did 100 successful cases, the other did 2 successful and 2 failed, then the collective would be (100+2)*100/104 = 98.07%

So the number of cases would matter.

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23 points

Of course. My point was only that there is definitely a difference between an individual doctor’s success rate and the overall success rate of a procedure across all doctors, responding to the commment I replied to.

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98.07 for the surgery in general but not if you have decided to go to the first doctor. Then the 50% chance of the second doctor doesn’t not come into the equation, assuming surgery is done by the first doctor who is independent of second doctor. Hope that makes more sense.

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