document.write( "Question 1207873: Each packet of a certain cereal contains a small plastic model of one of ve di erent
\n" ); document.write( "dinosaurs; a given packet is equally likely to contain any one of the ve dinosaurs.
\n" ); document.write( "Find the probability that someone buying six packets of the cereal will acquire
\n" ); document.write( "models of their three favourite dinosaurs \n" ); document.write( "

Algebra.Com's Answer #846007 by ikleyn(52793) $\"\"$ $\"About$

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\n" ); document.write( "Each packet of a certain cereal contains a small plastic model of one of ve di erent
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\n" ); document.write( "Find the probability that someone buying six packets of the cereal will acquire
\n" ); document.write( "models of their three favourite dinosaurs.
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document.write( "    Each packet of a certain cereal contains a small plastic model of one of five different\r\n" );
document.write( "    dinosaurs; a given packet is equally likely to contain any one of the five dinosaurs.\r\n" );
document.write( "    Find the probability that someone buying six packets of the cereal will acquire\r\n" );
document.write( "    models of their three favorite dinosaurs.\r\n" );
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document.write( "                 SOLUTION\r\n" );
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document.write( "In this problem, we have random samples of 6 items from unlimited pool of items of 5 different types mixed evenly.\r\n" );
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document.write( "Selection one or another type at each trial is random; each type can be selected with the probability 1/5.\r\n" );
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document.write( "For us, the success at each random trial is to get randomly any item of some of 3 favorite types; \r\n" );
document.write( "so, the probability of success is 3/5 at each individual trial.\r\n" );
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document.write( "The number of trials is 6.\r\n" );
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document.write( "So, we have a Binomial distribution experiment with  6 trials, 3 success trials \r\n" );
document.write( "and probability of the individual success at each trial of 3/5.\r\n" );
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document.write( "Hence, to answer the question, use the standard formula of partial binomial distribution probability\r\n" );
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document.write( "    P =  =  = 0.27648 (rounded).\r\n" );
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document.write( "ANSWER.  \r\n" );
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