document.write( "Question 60637: 1. When 3 dice are rolled, how many ways can the sum of 6 be obtained?\r
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document.write( "2. In building new homes, a contractor finds that the probability of a homeowner selecting a 2 car garage is .70 and of selecting a 1 car gagage is .20. Find the probability that the buyer will select no garage. The builder does not build houses with garages of 3 or more cars.\r
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Algebra.Com's Answer #854309 by ikleyn(53888) You can put this solution on YOUR website! . \n" ); document.write( "1. When 3 dice are rolled, how many ways can the sum of 6 be obtained?\r \n" ); document.write( "\n" ); document.write( "2. In building new homes, a contractor finds that the probability of a homeowner selecting a 2 car garage is .70 \n" ); document.write( "and of selecting a 1 car gagage is .20. Find the probability that the buyer will select no garage. \n" ); document.write( "The builder does not build houses with garages of 3 or more cars. \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The solution in the post by @consc198 to part (1) is incomplete and does not give a correct answer.\r \n" ); document.write( "\n" ); document.write( " Therefore, I came to bring a solution to part (1) in the form as it should be done.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let's consider/classify all possible outcomes.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Outcome (4,1,1) produces 3 possible distinguishable permutations, in all.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Outcome (3,2,1) produces 6 possible distinguishable permutations, in all.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Outcome (2,2,2) produces 1 possible distinguishable permutation, in all.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, the total number of all possible outcomes with the sum 6 is 3 + 6 + 1 = 10.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The total number of all possible outcomes with the sum 6 is 10.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved correctly.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |