document.write( "Question 1142980: If two events 𝐴 and 𝐵 are independent, and you know that 𝑃(𝐴)=3/10, what is the value of 𝑃(𝐴|𝐵)?\r
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Algebra.Com's Answer #763722 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! If two events are independent then if we are given that one is known to have\r\n" ); document.write( "occurred, the probability that the other has or will occur is UNCHANGED!\r\n" ); document.write( "\r\n" ); document.write( "So if we are given that B has occurred (which is what \"|B\" means), the\r\n" ); document.write( "probability of A is still 3/10. So P(A|B) = P(A) = 3/10. \r\n" ); document.write( "\r\n" ); document.write( "[Caution: don't get \"independent events\" confused with \"mutually exclusive\r\n" ); document.write( "events\". Mutually exclusive events cannot both happen. If one happens, the\r\n" ); document.write( "other cannot happen. Independent events CAN both happen, but the\r\n" ); document.write( "probability of either one is not affected if the other one occurs (or\r\n" ); document.write( "doesn't occur).]\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |