document.write( "Question 1037173: What does it mean when scenarios are DEPENDENT or INDEPENDENT? \n" ); document.write( "
Algebra.Com's Answer #651950 by Theo(13342)![]() ![]() You can put this solution on YOUR website! independent events means the probability of the second event does not dependent on what happened in the first event.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "dependent events means the probability of the second event does dependent on what happened in the first event.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a typical example would be drawing a colored ball from a jar.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "assume the jar contains 3 white balls and 3 red balls.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "with replacement, the probability of getting a white ball on the second draw is independent of whether you got a white ball or a red ball on the first draw.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is because you restored the jar to its original condition by replacing the ball that you drew on the first draw.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "there were 3 white balls and 3 red balls in the jar prior to the first draw and there are still 3 white balls and 3 red balls in the jar prior to the second draw.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "without replacement, the probability of getting a white ball on the second draw is dependent on whether you drew a white ball or a red ball on the first draw because the ball that you drew on the first draw is not placed back into the jar.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you drew a white ball on the first draw, the probability of getting a white ball on the second draw is now 2/5 rather than 3/6. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is because, instead of 3 white balls and 3 red balls in the jar, you now have 2 white balls and 3 red balls in the jar.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you drew a red ball on the first draw, the probability of getting a white ball on the second draw is now 3/5 rather than 3/6.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is because, instead of 3 white balls and 3 red balls in the jar, you now have 3 white balls and 2 red balls in the jar.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can look up on the internet for explanations of independent and dependent events.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "one such link that i found is http://www.statisticshowto.com/how-to-tell-if-an-event-is-dependent-or-independent/\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "there's lots more. \n" ); document.write( "my search was for \"statistics independent versus dependent events\" without the \".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |