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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

500.0. "More Buffonery" by METOO::YARBROUGH () Wed Jun 04 1986 16:41

    The next morning, Alfred reported, "I continued the experiment for
    another 10,000 trails after you left last night, but I didn't have
    any luck improving the estimate of Pi. I'm going to try again later
    today for another 50,000 trials. Want to join me?"
    
    Robert replied "No way. I've been thinking about it and I think your
    chances are pretty slim. In fact I'll bet you you won't improve
    the estimate at all."
    
    Why would Alfred be foolish to accept the bet? What are the odds
    against him?
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500.1Must be a better way to spend a rainy dayMODEL::YARBROUGHThu Aug 07 1986 12:566
    Poor Albert apparently had the bad luck to miss both the fractions
    103993/33102 and the next larger improvement, 104348/33215 (since
    his count of trials has run from "just under 100,000" to "just under"
    110,000. But the next stop on the train of better rational
    approximations to Pi is 207986/66204, so the next 50,000 trials are
    sure to be fruitless.