document.write( "Question 1205797: Colby is the producer of the local talent competition show, Homegrown Superstars, and needs to form a panel of judges to evaluate performances. Colby has a list of 6 musicians and 8 actors from which to select the judging panel.\r
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Algebra.Com's Answer #842833 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Colby is the producer of the local talent competition show, Homegrown Superstars,
\n" ); document.write( "and needs to form a panel of judges to evaluate performances.
\n" ); document.write( "Colby has a list of 6 musicians and 8 actors from which to select the judging panel.
\n" ); document.write( "a. How many ways are there for Colby to select 5 judges, if the order does not matter?
\n" ); document.write( "b. If Colby randomly selects 5 judges, what is the probability that he will choose 2 musicians and 3 actors?
\n" ); document.write( "c. If Colby randomly selects 5 judges, what is the probability that at least one of them will be a actor?
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document.write( "(a)   =  =  = 2002 possible combinations.    ANSWER\r\n" );
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document.write( "(b)   =  = 0.41958  (rounded).    ANSWER  \r\n" );
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document.write( "(c)  The complementary event is 5 judges with no actors (i.e. all judges are musicians)\r\n" );
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document.write( "     The probability for this complementary event is  P' =  =  = 0.002997  (rounded).   ANSWER\r\n" );
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document.write( "     Therefore, the probability of the event under the question is \r\n" );
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document.write( "          1 - P' = 1 - 0.002997 = 0.997003  (rounded).\r\n" );
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