document.write( "Question 157692: Two numbers a and b, are randomly selected without replacement from the set {2,3,4,5,6,7}. What is the probability that the fraction a/b is lessthan 1 and can be expressed as a terminating decimal?
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Algebra.Com's Answer #116201 by jim_thompson5910(35256) $\"\"$ $\"About$

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To find the probability that $\"a%2Fb\"$ is less than 1 and can be expressed as a terminating decimal, simply list all of the fractions where $\"a%3Cb\"$ (since the fraction must be less than 1) and take note which ones have terminating decimals\r
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\n" ); document.write( "\n" ); document.write( " $\"2%2F3=0.667\"$ (non terminating), $\"2%2F4=1%2F2=0.5\"$ (terminating), $\"2%2F5=0.4\"$ , $\"2%2F6=0.333\"$ (non terminating), $\"2%2F7=0.286\"$ (non terminating), etc...\r
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\n" ); document.write( "\n" ); document.write( "It turns out that there are 3 different possible combinations of $\"a%2Fb\"$ . So count the number of terminating decimal fractions $\"a%2Fb\"$ and this will form the numerator while the total number of combintations (30) will form the denominator.\r
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