document.write( "Question 1207643: Two cards are drawn one after the other with replacement from a well-shuffled pack of card. What is the probability that the two cards are both kings? \n" ); document.write( "
Algebra.Com's Answer #845625 by mccravyedwin(407)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Probability is the fraction of times you would succeed at the activity if you\r\n" ); document.write( "repeated the activity many times.\r\n" ); document.write( "\r\n" ); document.write( "4/52 = 1/13 = 7.7% of the times you drew the first card you would get a king. \r\n" ); document.write( "But only 7.7% of those times when you drew a king the first time would you also\r\n" ); document.write( "get a king on the second draw.\r\n" ); document.write( "\r\n" ); document.write( "Let's suppose you drew two cards with replacement every day for 1000 days. Then\r\n" ); document.write( "on 7.7% of those days, or about 77 days you would draw a king the first time.\r\n" ); document.write( "But of those 77 days when you drew a king the first time, only 7.7% of those 77\r\n" ); document.write( "days, or about 6 days would you draw two kings.\r\n" ); document.write( "\r\n" ); document.write( "Answer = (4/52)(4/52) = (1/13)(1/13) = 1/169. Only about 1 time out of 169\r\n" ); document.write( "tries would you get two kings. Maybe not exactly 1 time out of every 169 tries,\r\n" ); document.write( "but on the average you would. \r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |