document.write( "Question 1207461: Please resolve this question. You have two 10 cents coins, two $1 coins, one fifty cents coin and a $2 coin. one coin is randomly chosen and is not replaced. two more coins are then randomly chosen, What is the total number of possible outcomes for this chance experiment. \n" ); document.write( "
Algebra.Com's Answer #845343 by mccravyedwin(407)![]() ![]() You can put this solution on YOUR website! I made a mistake on my first solution. Here is the correct version: \n" ); document.write( " \r\n" ); document.write( "The values of the coins are irrelevant. Also, the probabilities of\r\n" ); document.write( "selecting coins is also irrelevant. [In future problems like this\r\n" ); document.write( "they will be relevant]. \r\n" ); document.write( "\r\n" ); document.write( "But all that matters is that you started with 6 coins, two pairs \r\n" ); document.write( "and two singles, where each member of each pair is indistinguishable \r\n" ); document.write( "from the other member of that pair. Say, the 6 coins are AABBCD.\r\n" ); document.write( "\r\n" ); document.write( "Case 1. You choose one of the A's not to replace. You have left ABBCD.\r\n" ); document.write( "You can then choose AB,AC,AD,BB,BC,BD,CD\r\n" ); document.write( "There are 7 outcomes. \r\n" ); document.write( "\r\n" ); document.write( "Case 2. You choose one of the B's not to replaced. Same as case 1. \r\n" ); document.write( "There are 7 outcomes.\r\n" ); document.write( "\r\n" ); document.write( "Case 3. You choose the C not to replace. You have left AABBD.\r\n" ); document.write( "You can then choose AA,AB,AD,BB,BD\r\n" ); document.write( "There are 5 outcomes.\r\n" ); document.write( "\r\n" ); document.write( "Case 4. You choose the D not to replace. Same as case 3. \r\n" ); document.write( "There are 5 outcomes.\r\n" ); document.write( "\r\n" ); document.write( "Total = 7+7+5+5=22 possible outcomes.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |