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Published on 2010-05-19T16:25:44Z
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If we roll 4 dices (fair), what is the probability of "sum of subset" being 5. e.g. 1432,1121, 2344, 2354 have a subset sum of 5. Can you illustrate how to calculate this.
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I'm coding a board game where there is a bag of possible pieces. Each turn, players remove randomly selected pieces from the bag according to certain rules.
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A friend of mine asked: if I have two dice and I throw both of them, what is the most frequent sum (of the two dice' numbers)?
I wrote a small script:
from random import randrange
d = dict((i, 0) for i in range(2, 13))
for i in xrange(100000):
d[randrange(1, 7) + randrange(1, 7)] += 1
print…
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http://en.wikipedia.org/wiki/Frequentist
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For when you really do need randomness
Probability - Math - Event - Teaching Resources - Past Events
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This MSDN article proves the correctness of Reservoir Sampling algorithm as follows:
Base case is trivial. For the k+1st
case, the probability a given
element i with position <= k is in R
is s/k.
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