Re: Does It Matter?
As a correction to my last post, I wrote "Because P(C|B) is greater for switching than not, you should switch. Notice that this is regardless of the probability of event B occurring, so long as it is non-zero."
What I should have said is:
"Because P(C|B) is greater for switching than not, you should switch. Notice that this is regardless of the probability of event B occurring given event A does not occur, so long as it is non-zero, i.e. P(B|!A) != 0."
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