document.write( "Question 446278: Five cards are drawn from a standard deck of cards. What is the probability that there are 3 tens and 2 jacks? What is the probability that at least one face card is drawn. \n" ); document.write( "
Algebra.Com's Answer #307330 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Five cards are drawn from a standard deck of cards. What is the probability that there are 3 tens and 2 jacks? \n" ); document.write( "--- \n" ); document.write( "# of ways to draw 3 tens: 4C3 = 4 \n" ); document.write( "# of ways to draw 2 jacks: 4C2 = 6 \n" ); document.write( "---- \n" ); document.write( "# of 5 card hands with 3 tens and 2 jacks: 4*6 = 24 \n" ); document.write( "--- \n" ); document.write( "# of possible 5 card hands: 52C5 \n" ); document.write( "---- \n" ); document.write( "P(3 tens and 2 jacks) = 24/52C5 = 0.000009234.. \n" ); document.write( "===========================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "What is the probability that at least one face card is drawn. \n" ); document.write( "There are 3*4 = 12 face cards and 40 non-face cards. \n" ); document.write( "P(at least one face card) = 1-p(no face cards) \n" ); document.write( "= 1 - (40C5/52C5) \n" ); document.write( "--- \n" ); document.write( "= 1 - 0.2531 \n" ); document.write( "= 0.7468... \n" ); document.write( "================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |