document.write( "Question 730135: If a die is rolled 35 times, there are 6^35 different sequences possible. The following question asks how many of these sequences satisfies certain conditions. HINT [Use the decision algorithm]
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\n" ); document.write( "What fraction of these sequences have exactly 10 numbers less than or equal to 2? (Round your answer to four decimal places.)
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Algebra.Com's Answer #446517 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "That's the same as the binomial probability of getting exactly x=10 successes\r\n" );
document.write( "out of n=35 trials with a probability of 1 success in 1 trial being p=. \r\n" );
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document.write( "The p= probability comes from the fact that there are 2 rolls, \"1\" and \"2\",\r\n" );
document.write( "out of the 6 possible rolls that are less than or equal to 2, and  reduces to .      \r\n" );
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document.write( "The formula for the binomial probability of getting exactly x successes\r\n" );
document.write( "in n trials with a probability of p of 1 success in 1 trial is:\r\n" );
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document.write( "C(n,x)p^x(1-p)^n-x\r\n" );
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document.write( "Our case is n=35, x=10, p=.\r\n" );
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document.write( "Substituting those gives 0.1231203703\r\n" );
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document.write( "Rounding to four decimal places: 0.1231\r\n" );
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document.write( "Edwin

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