document.write( "Question 610840: Assume you have a deck of well shuffled cards. What is the probability of being dealt four black cards off the top? Is this scenario representative of dependent or independent events?\r
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document.write( "I feel that there is not enough information.. Please help... I am just not understanding this \n" );
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Algebra.Com's Answer #384625 by solver91311(24713)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Pretty obviously this represents dependent events. If you get dealt a red card on the first card, you have lost already, but even presuming that you are dealt a black card on the first card (probability 1/2 if you don't have a joker -- neither red nor black -- in the deck), then the probability of getting a black card on the second draw is reduced to 25/51 since one of the 26 black cards in the deck is gone, namely your first card reducing both the denominator and numerator by 1. Presuming that you got a black card on the first AND second draws, then the probability of a black card on the third draw is reduced again, this time 24/50. And so on.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The overall probability of 4 black cards is the product of the four individual probabilities.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "John \n" ); document.write( " \n" ); document.write( "My calculator said it, I believe it, that settles it \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |