document.write( "Question 1155894: A company has hired 10 new employees, 7 men and 3 women. The company must assign 5 of them to the morning shift, 3 of them to the swing shift, and the rest of them to the graveyard shift. \r
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document.write( "Find the probability that at least one man is assigned to the swing shift? \n" );
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Algebra.Com's Answer #778609 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "The complement event of \"at least one man is assigned to the swing shift\" is\r\n" ); document.write( "the event that all 3 women are assigned to the swing shift.\r\n" ); document.write( "That's \r\n" ); document.write( "\r\n" ); document.write( " the number of ways to have all 3 women on the swing shift 1 1\r\n" ); document.write( "------------------------------------------------------------- = ---- = -----\r\n" ); document.write( "the number of ways to have any 3 of the 10 on the swing shift 10C3 120\r\n" ); document.write( "\r\n" ); document.write( "So 1/120 is the probability that all 3 women will be on the swing shift.\r\n" ); document.write( "\r\n" ); document.write( "Therefore 1 - 1/120 or 119/120 is the probability that there will be at least\r\n" ); document.write( "one man on the swing shift.\r\n" ); document.write( "\r\n" ); document.write( "[It doesn't matter about the other two shifts. We can ignore them. We are\r\n" ); document.write( "considering each of the 10 people either to be assigned to the swing shift or\r\n" ); document.write( "elsewhere.]\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |