document.write( "Question 885716: When 2 balanced dice are rolled, there are 36 outcomes. a.) Find the probability that the second dice is 4 or the sum of the dice is 7.
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document.write( "b.) Find the probability that the first dice is 3 or that doubles are rolled.
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document.write( "*Please show a detailed solution* \n" );
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Algebra.Com's Answer #535378 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! a.) Find the probability that the second dice is 4 or the sum of the dice is 7. \n" ); document.write( " \r\n" ); document.write( "Here are the 36 dice rolls:\r\n" ); document.write( "\r\n" ); document.write( "(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)\r\n" ); document.write( "\r\n" ); document.write( "(2,1) (2,2) (2,3) (2,4) (2,5) (2,6) \r\n" ); document.write( "\r\n" ); document.write( "(3,1) (3,2) (3,3) (3,4) (3,5) (3,6) \r\n" ); document.write( "\r\n" ); document.write( "(4,1) (4,2) (4,3) (4,4) (4,5) (4,6) \r\n" ); document.write( "\r\n" ); document.write( "(5,1) (5,2) (5,3) (5,4) (5,5) (5,6) \r\n" ); document.write( "\r\n" ); document.write( "(6,1) (6,2) (6,3) (6,4) (6,5) (6,6) \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "If we erase all but those with the second dice 4 or the \r\n" ); document.write( "sum of the dice is 7: \r\n" ); document.write( "\r\n" ); document.write( " (1,4) (1,6)\r\n" ); document.write( "\r\n" ); document.write( " (2,4) (2,5) \r\n" ); document.write( "\r\n" ); document.write( " (3,4) \r\n" ); document.write( "\r\n" ); document.write( " (4,3) (4,4) \r\n" ); document.write( "\r\n" ); document.write( " (5,2) (5,4) \r\n" ); document.write( "\r\n" ); document.write( "(6,1) (6,4) \r\n" ); document.write( "\r\n" ); document.write( "Count them. That's 11. Probability = 11/36.\r\n" ); document.write( " \n" ); document.write( "b.) Find the probability that the first dice is 3 or that doubles are rolled. \n" ); document.write( " \r\n" ); document.write( "Here are the 36 dice rolls again:\r\n" ); document.write( "\r\n" ); document.write( "(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)\r\n" ); document.write( "\r\n" ); document.write( "(2,1) (2,2) (2,3) (2,4) (2,5) (2,6) \r\n" ); document.write( "\r\n" ); document.write( "(3,1) (3,2) (3,3) (3,4) (3,5) (3,6) \r\n" ); document.write( "\r\n" ); document.write( "(4,1) (4,2) (4,3) (4,4) (4,5) (4,6) \r\n" ); document.write( "\r\n" ); document.write( "(5,1) (5,2) (5,3) (5,4) (5,5) (5,6) \r\n" ); document.write( "\r\n" ); document.write( "(6,1) (6,2) (6,3) (6,4) (6,5) (6,6) \r\n" ); document.write( "\r\n" ); document.write( "I'll erase all but the ones with the first dice 3 or doubles:\r\n" ); document.write( "\r\n" ); document.write( "(1,1) \r\n" ); document.write( "\r\n" ); document.write( " (2,2) \r\n" ); document.write( "\r\n" ); document.write( "(3,1) (3,2) (3,3) (3,4) (3,5) (3,6) \r\n" ); document.write( "\r\n" ); document.write( " (4,4) \r\n" ); document.write( "\r\n" ); document.write( " (5,5) \r\n" ); document.write( "\r\n" ); document.write( " (6,6)\r\n" ); document.write( "\r\n" ); document.write( "Count them. There's also 11 of those. Probability = 11/36.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |