document.write( "Question 1159141: Are 50 iPads available for check out as library, 10 are defective. A sample of 3 iPad Are randomly selected without replacement. What is the probability that at least one of the iPad is defective? round to the nearest thousand \n" ); document.write( "

Algebra.Com's Answer #852345 by ikleyn(52945) $\"\"$ $\"About$

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\n" ); document.write( "There are 50 iPads available for check. Of them, 10 are defective.
\n" ); document.write( "A sample of 3 iPads is randomly selected without replacement.
\n" ); document.write( "What is the probability that at least one of the iPads is defective?
\n" ); document.write( "round to the nearest thousand
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\n" ); document.write( "\n" ); document.write( "I edited the original text to make it grammatically correct.
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\n" ); document.write( "\n" ); document.write( "- - - - - - - - S o l u t i o n 1 - - - - - - - -\r
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document.write( "An event \"At least one is defective\" is the complement to the event \"No one is defective\".\r\n" );
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document.write( "An event \"No one is defective\" means that our 3 randomly selected iPads are from the set \r\n" );
document.write( "of 50-10 = 40 good iPads.\r\n" );
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document.write( "So, we write\r\n" );
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document.write( "    P(at least one is defective = 1 - P(no one is defective) = 1 -  = 0.496 (rounded).\r\n" );
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document.write( "At this point, the solution 1 is complete.  The answer is  P = 0.496  (rounded).\r\n" );
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\n" ); document.write( "\n" ); document.write( "- - - - - - - - S o l u t i o n 2 - - - - - - - -\r
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\r\n" );
document.write( "An event \"At least one is defective\" is the complement to the event \"No one is defective\".\r\n" );
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document.write( "An event \"No one is defective\" means that our 3 randomly selected iPads are from the set \r\n" );
document.write( "of 50-10 = 40 good iPads.\r\n" );
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document.write( "So, we write\r\n" );
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document.write( "    P(at least one is defective = 1 - P(no one is defective) = 1 -  = 1 -  = 0.496 (rounded).\r\n" );
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document.write( "Here we relate  C(40,3) = 9880 triples (combinations), consisting of good iPads only, \r\n" );
document.write( "to C(50,3) = 19600, the number of all possible triples (combinations).\r\n" );
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document.write( "At this point, the solution 2 is complete.  The answer is  the same:  P = 0.496  (rounded).\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved completely in two different ways for your better understanding.\r
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