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August 5th, 2019, 12:34 AM  #1 
Newbie Joined: Aug 2019 From: Australia Posts: 1 Thanks: 0  Tricky Conditional Probability Question
Hi, Having trouble with the following conditional probability question, please see the attachment below titled Capture1. Any help would be appreciated. 
August 5th, 2019, 07:42 AM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,582 Thanks: 1427 
either $A$ happened or it didn't, $A$ and $\bar{A}$ are mutually exclusive events, so $P[B]=P[BA] + P[B\bar{A}] = 0.2 + 0.7 = 0.9$ $P[AB] = \dfrac{P[BA]P[A]}{P[B]} = \dfrac{(0.2)(0.8 )}{0.9} \approx 0.178$ 

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