document.write( "Question 950211: you have a deck of 26 cards, each labeled with one of the 26 letters of the alphabet.(each letter appears once)Suppose you choose 3 cards at random, one at a time. What is the probability that you choose ur cards in alphabetical order? (Choosing G, then R, and then X not S, A, and P) Give an exact answer not an approximation and explain how u came to ur conclusion. \n" ); document.write( "
Algebra.Com's Answer #580189 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Number the cards from 1 to 26, A thru Z.\r\n" ); document.write( "\r\n" ); document.write( "Then if they are in numerical order they\r\n" ); document.write( "are also in alphabetical order.\r\n" ); document.write( "\r\n" ); document.write( "Of the 3 numbers you pick, there is always \r\n" ); document.write( "a smallest number, a medium-sized number, \r\n" ); document.write( "and a largest number.\r\n" ); document.write( "\r\n" ); document.write( "There are 3!=6 ways to order \"small, medium and large\", \r\n" ); document.write( "\r\n" ); document.write( "Each of these are equally likely.\r\n" ); document.write( "\r\n" ); document.write( "1. Small, Medium, Large\r\n" ); document.write( "2. Small, Large, Medium\r\n" ); document.write( "3. Medium, Small, Large\r\n" ); document.write( "4. Medium, Large, Small\r\n" ); document.write( "5. Large, Small, Medium\r\n" ); document.write( "6. Large, Medium, Small\r\n" ); document.write( "\r\n" ); document.write( "So the answer is 1/6.\r\n" ); document.write( "\r\n" ); document.write( "[The probability would still be 1/6 regardless \r\n" ); document.write( "of the number of cards in the deck, as long as \r\n" ); document.write( "there's 6 or more.] \r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |