document.write( "Question 394923: Two cards drawn in succession from a standard deck of cards without replacement.What is the prbability that both cards are greater than 2 and less than 9? \n" ); document.write( "
Algebra.Com's Answer #280284 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! Two cards drawn in succession from a standard deck of cards without replacement.What is the prbability that both cards are greater than 2 and less than 9? \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "The probability of drawing the first card as one of these 24\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " \r\n" ); document.write( " 3♥ 4♥ 5♥ 6♥ 7♥ 8♥ \r\n" ); document.write( " 3♦ 4♦ 5♦ 6♦ 7♦ 8♦\r\n" ); document.write( " 3♠ 4♠ 5♠ 6♠ 7♠ 8♠ \r\n" ); document.write( " 3♣ 4♣ 5♣ 6♣ 7♣ 8♣ \r\n" ); document.write( "\r\n" ); document.write( "out of these 52\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " \r\n" ); document.write( "A♥ 2♥ 3♥ 4♥ 5♥ 6♥ 7♥ 8♥ 9♥ 10♥ J♥ Q♥ K♥ \r\n" ); document.write( "A♦ 2♦ 3♦ 4♦ 5♦ 6♦ 7♦ 8♦ 9♦ 10♦ J♦ Q♦ K♦\r\n" ); document.write( "A♠ 2♠ 3♠ 4♠ 5♠ 6♠ 7♠ 8♠ 9♠ 10♠ J♠ Q♠ K♠ \r\n" ); document.write( "A♣ 2♣ 3♣ 4♣ 5♣ 6♣ 7♣ 8♣ 9♣ 10♣ J♣ Q♣ K♣ \r\n" ); document.write( "\r\n" ); document.write( "is 24/52. \r\n" ); document.write( "\r\n" ); document.write( "Then having done that, we would draw the second one from 23 out of 51, \r\n" ); document.write( "because the one we drew was not replaced, so that's 23/51.\r\n" ); document.write( "\r\n" ); document.write( "So we multiply (24/52)*(23/51) = 46/221\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |