AT Statistics genious! Help me on this problem PLEAZ~~!!

<p>Even the teacher coudn't get WHY the answer is "'''5/8"'''</p>

<p>Event A occurs with probability 0.4. The conditional probability that A occurs given that B occurs is 0.5 , while the conditional probability that A occurs given that B does not occur is 0.2. What is the conditional probability that B occurs given that A occurs?</p>

<p>SO... Anyone knows WHY the answer is "5/8"????</p>

<p>Please help me on this..PLEASE..:(
Thanks in advance!!</p>

<p>Anyone?lol</p>

<p>Wow this is kinda hard. Maybe it's just me ;( I've never encountered this kind of problem... How do you solve it?</p>

<p>u have to do 1-.2 (event B DOES NOT OCCUR) since ur looking for the prob. that event B does occur..so then its .5/.8=5/8</p>

<p>I'm getting the answer as 5/6...
/fail stats oh well</p>

<p>hahahaha</p>

<p><a href="http://mathforum.org/kb/thread.jspa?forumID=67&threadID=1310538&messageID=4134826%5B/url%5D"&gt;http://mathforum.org/kb/thread.jspa?forumID=67&threadID=1310538&messageID=4134826&lt;/a&gt;&lt;/p>

<p>"The conditional probability that A occurs given that B occurs is 0.5 , while the conditional probability that A occurs given that B does not occur is 0.2." problem here?</p>