document.write( "Question 376332: if you are dealt 5 cards from a deck of 52 cards, find the probability that all 5 cards are picture cards \n" ); document.write( "
Algebra.Com's Answer #267750 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "There are 12 picture cards, 4 Jacks, 4 Queens, and 4 Kings.\r\n" ); document.write( "\r\n" ); document.write( "So there are \"12 choose 5\" ways to choose 5 picture cards.\r\n" ); document.write( "\r\n" ); document.write( "There are 52 cards in the deck.\r\n" ); document.write( "\r\n" ); document.write( "So there are \"52 choose 5\" ways to choose any 5 cards.\r\n" ); document.write( "\r\n" ); document.write( "So the desired probability is 12C5 ways out of 52C5 or\r\n" ); document.write( "\r\n" ); document.write( "12C5 792 33\r\n" ); document.write( "---- = --------- = -------- = 0.0003047372795\r\n" ); document.write( "52C5 2598960 108290 \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |