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MATHCOUNTS Mini: February 2011

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Uploaded by on Jan 28, 2011

MATHCOUNTS Mini: February 2011; see a better version at www.mathcounts.org!

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Education

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  • ...ah...a classic "simple-sounding" math problem that is still unsolved is a proof of Goldbach's Conjecture (every even whole number > 2 = sum of 2 primes)

  • I did this a different way...

    The probability that the first number would be greater than 3/4 (guaranteed fail) is 1/4, so there is a 3/4 chance the second number CAN be 1/4 higher than the first.

    Similarly, the probability that the second number is at least 1/4 is 3/4.

    Then, the probability that both work is 9/16.

    After that, the first number will be, on average, 1/4 lower than the second, so there is a 1/2 chance of it being 1/4 lower or more. (1/2)*(9/16)=9/32.

  • i got this right on the test but i forgot what i did

  • Thank you for making these videos! They are vvery helpful!

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