document.write( "Question 1068363: four shoes are taken at ramdom from five different pairs .whait is the probability that there is at least one pair among them? \n" ); document.write( "

Algebra.Com's Answer #683582 by addingup(3677) $\"\"$ $\"About$

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The number of ways to choose 4 out of 10 shoes is
\n" ); document.write( "Choose 1st shoe out of 10
\n" ); document.write( "Choose 2nd shoe out of 9
\n" ); document.write( "Choose 3rd shoe out of 8
\n" ); document.write( "Choose 4th shoe out of 7
\n" ); document.write( ":
\n" ); document.write( "The number of ways to choose 4 out of 10 shoes with no pairs is:
\n" ); document.write( "Choose the 1st shoe out of 10
\n" ); document.write( "Choose the 2nd shoe out of 8
\n" ); document.write( "Choose the 3rd shoe out of 6
\n" ); document.write( "Choose the 4th shoe out of 4
\n" ); document.write( "So the probability of choosing 4 out of 10 shoes with at least one pair is:
\n" ); document.write( "1−10⋅8⋅6⋅4/10⋅9⋅8⋅7 = 1-0.381 = 0.62 or 62% \n" ); document.write( "

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