Question 1114965
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Put the original piece of wire onto the number line, from 0 to 6.


Let x be the coordinate, where you cut.


Then the condition that both cuts will be at least 1 in long, is this inequality

1 < x < 5.


So,  the cutting position "x" must lie in the segment  [1,5]  of the entire piece of the length 6.


Hence, the probability under the question is  {{{4/6}}} = {{{2/3}}} = 66.66%.
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