document.write( "Question 1081712: Find the probability of getting four face cards (king, queen, or jack) when 4 cards are drawn from a deck without replacement. Enter answer as a fraction. \n" ); document.write( "
Algebra.Com's Answer #695755 by math_helper(2461)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "There are initially 12 face cards in the deck.\r \n" ); document.write( "\n" ); document.write( "We are interested in the case that we draw 4 consecutive face cards on a draw of 4 cards. That means the first one has a probability of 12/52 of being drawn, that would leave 11 face cards among the remaining 51 cards, etc. Similar logic applies to the remaining draws. \n" ); document.write( "— \n" ); document.write( "P(4 face cards drawn) = (12/52)*(11/51)*(10/50)*(9/49) \n" ); document.write( "which reduces to (3/13)*(11/51)*(1/5)*(9/49) = 297 / 162435 = |