document.write( "Question 1114965: A piece of wire 6 in long is cut into two pieces at a random point. What is the probability that both pieces of wire will be at least 1 in long? \n" ); document.write( "

Algebra.Com's Answer #729881 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Put the original piece of wire onto the number line, from 0 to 6.\r\n" );
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document.write( "Let x be the coordinate, where you cut.\r\n" );
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document.write( "Then the condition that both cuts will be at least 1 in long, is this inequality\r\n" );
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document.write( "1 < x < 5.\r\n" );
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document.write( "So,  the cutting position \"x\" must lie in the segment  [1,5]  of the entire piece of the length 6.\r\n" );
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document.write( "Hence, the probability under the question is   =  = 66.66%.\r\n" );
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