document.write( "Question 258726: Suppose that 10 numbers are select at random from the interval [0, 1]. Find the probability that the first 5 are less than 1/4 and at least one of the numbers is less than 1/10.
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Algebra.Com's Answer #190582 by Edwin McCravy(20060) $\"\"$ $\"About$

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It hasn't occurred to the other tutor that although any one number is just
\n" ); document.write( "as likely to be chosen as any other, it is not as likely that one will be
\n" ); document.write( "chosen between two numbers close together as it is that one will be chosen
\n" ); document.write( "between two numbers far apart.
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\n" ); document.write( "\n" ); document.write( "Suppose that 10 numbers are select at random from the interval [0, 1]. Find the probability that the first 5 are less than 1/4 and at least one of the numbers is less than 1/10.\r
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document.write( "Let's draw the interval [0, 1] and mark the point at  A,\r\n" );
document.write( "the point at   B, the point at  C, and the\r\n" );
document.write( "point at  D\r\n" );
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document.write( "  \r\n" );
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document.write( "The probability of choosing a number between A and B is .\r\n" );
document.write( "The probability of choosing a number between A and C is .\r\n" );
document.write( "The probability of choosing a number between B and C is \r\n" );
document.write( "The probability of choosing a number between B and D is \r\n" );
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document.write( "The desired probability =\r\n" );
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document.write( "P(the first 5 are between A and C) MINUS \r\n" );
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document.write( "P(the first 5 are between B and C AND the last 5 are between B and D)\r\n" );
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document.write( "=\r\n" );
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document.write( "= .0009317221656\r\n" );
document.write( "Edwin

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