document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120628>Question 1120628</A>: <I><SPAN STYLE=\"word-break: break-all;\"> According to a theory in&#8203; genetics, if tall and colorful plants are crossed with short and colorless&#8203; plants, four types of plants will&#8203; result: tall and&#8203; colorful, tall and&#8203; colorless, short and&#8203; colorful, and short and&#8203; colorless, with corresponding probabilities of \r<BR>\n" );
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document.write( "five sixteenths<BR>\n" );
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document.write( "four sixteenths<BR>\n" );
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document.write( "one sixteenth<BR>\n" );
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document.write( "and six sixteenths<BR>\n" );
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document.write( "In a multinomial&#8203; experiment, if 10 plants are&#8203; selected, find the probability that 3 will be tall and&#8203; colorful, 2 will be tall and&#8203; colorless, 3 will be short and&#8203; colorful, and 2 will be short and colorless.\r<BR>\n" );
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document.write( "The probability is_______________ </SPAN>\n" );
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document.write( "The number of ways of selecting 10 plants with 3 tall and colorful, 2 tall and colorless, 3 short and colorful, and 2 short and colorless is given by the multinomial coefficient<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%21%29%2F%28%283%21%29%282%21%29%283%21%29%282%21%29%29+=+25200 ALIGN=MIDDLE  ALT=\"%2810%21%29%2F%28%283%21%29%282%21%29%283%21%29%282%21%29%29+=+25200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The probability of any one of those combinations is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%285%2F16%29%5E3%29%2A%28%284%2F16%29%5E2%29%2A%28%281%2F16%29%5E3%29%2A%28%286%2F16%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The overall probability of selecting that number of the different kinds of plants is the product of those two numbers, which to a few decimal places is 0.00165. </SPAN>\n" );
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