Question 1134955
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I solved this problem at least  TWO  TIMES  before,  and  the number  {{{1/24}}}  came to you from my earlier posts.


See,  for example,  my response at the link


<A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1134624.html>https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1134624.html</A>


https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1134624.html



My answers were absolutely clear.



What is interesting, &nbsp;the answer remains the same for any other domain instead of the segment &nbsp;[1,1000].


For example, &nbsp;the answer remains the same for the domain &nbsp;[0,10000];  &nbsp;or for the domain  &nbsp;[-10,100001];  


or for domain  &nbsp;(0,infinity)  &nbsp;&nbsp;(= all real positive numbers);  &nbsp;and even for the domain  (-infinity,infinity) &nbsp;&nbsp;(= all real numbers).


If it is what you want to ask, &nbsp;then here you have my answer.