document.write( "Question 153733: Find the probability of drawing a heart or a face card from a standard deck of cards. \n" ); document.write( "
Algebra.Com's Answer #113149 by Fombitz(32388)![]() ![]() You can put this solution on YOUR website! 52 cards in a deck \n" ); document.write( "K,Q,J face cards in a deck - 12 total \n" ); document.write( "P(face)=12/52=3/13 \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "13 hearts in a deck \n" ); document.write( "P(heart)=13/52 \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "P(face card and heart) = 3/32 \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "Probability of either a face card or a heart, add individual probabilities, but remember to subtract the three heart face cards, to not count them twice.\r \n" ); document.write( "\n" ); document.write( "P(A or B)=P(A)+P(B)-P(A and B) \n" ); document.write( "where A is drawing a face card and B is drawing a heart. \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "P(face or heart)=P(face)+P(heart)-P(face and heart) \n" ); document.write( "P(face or heart)=12/52+13/52-3/52=22/52=11/26 \n" ); document.write( " |