document.write( "Question 1024504: A problem in business statistics is given to 5 students A,B,C,D and E.\r
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document.write( "their chances of solving it are 1/2,1/3,1/4,1/5,1/6.\r
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document.write( "what is the probability that the problem will be solved. \n" );
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Algebra.Com's Answer #639898 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the probability that it will be solved should be 1 minus the probability that it won't be solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since that is the easiest way to solve this problem, then that's the way we'll go.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the other way would be much too complex.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you would have to find the sum of the probability that the following combinations of people would solve it:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you would have to find the number of ways each could solve it by themselves. \n" ); document.write( "then you would have to find the number of ways that two could solve it. \n" ); document.write( "then three. \n" ); document.write( "then four. \n" ); document.write( "then five.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "then you add them all up and you would get the probability that the problem would be solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the easier way is to just find the probabilility that none of them could solve it and then subtract that from 1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that automatically gives you the probability that at least one of them could solve it.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the probabilities that each could solve it are given as:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1/2, 1/3, 1/4, 1/5, 1/6.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this means the probabilities that each could not solve it are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1/2, 2/3, 3/4, 4/5, 5/6.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the probability that all could not solve it is therefore:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1/2 * 2/3 * 3/4 * 4/5 * 5/6 which is equal to 120/720 which is equal to 1/6.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |