Recent content by OneSquared

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    Calculating Probabilities for Multiple Colors of M&M's from a Bag

    I have a bag of M&M's that is 22.5% Blue, 12.5%Brown, and 65% other. If I pull 12 M&M's from the bag, what is the probabiliity that exactly 2 are blue and 3 are brown? I used the binomial to find the probability of 2 blue and 3 brown, and I want to multiply them together to get the answer...
  2. O

    Calculating the Probability of a Shared Birthday among n People

    Ignoring leap years: P(bd2 = bd1) = 1/365 P(bd2 != bd1) = 364/365 P(bd3 = bd1) + P(bd3 = bd2) = 2/365, given that bd1 != bd2 P(bd3 != bd1) AND P(bd3 != bd2) = 363/365 Therefore P(bd1 != bd2 != bd3) = 1 - (363/365) * (364/365) So for any n, P(two birthdays are the same) = 1 -...
  3. O

    2004 Georgia Tech Math Competition questions

    Did we ever solve the original problem with the 3/8? I don't see how a problem like this could ever have an even number in the denominator...if you use 3 of each, you get 2/5, 4 of each, you get 3/7, if you use 5 of each, you get 4/9, etc., so I like 5/11 as the answer as well.
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