document.write( "Question 1149524: A carton contains 15 transistors of which 5 are defective. If a random sample of 6 transistors are drawn from the carton (without replacement) determine the probability of 2 defective valves in the sample. \n" ); document.write( "

Algebra.Com's Answer #770950 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A carton contains 15 transistors of which 5 are defective. If a random sample of 6 transistors are drawn from the carton
\n" ); document.write( "(without replacement). Determine the probability of 2 defective $\"highlight%28cross%28valves%29%29\"$ transistors in the sample.
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document.write( "The sample space in this case is the set of all groups of 6 transistors that can be selected from 15 transistors.\r\n" );
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document.write( "The number of such groups is the number of combinations of 15 items taken 6 at a time\r\n" );
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document.write( "     =  = 5005.\r\n" );
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document.write( "The favorable set is the set of all groups of 6 transistors that contain 2 defective and 4 valid transistors.\r\n" );
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document.write( "The number of such groups is\r\n" );
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document.write( "    . = . = 10*210 = 2100.\r\n" );
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document.write( "The probability under the problem's question is\r\n" );
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document.write( "    P =  = 0.4196 = 41.96%  (approximately).    ANSWER\r\n" );
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