A Strange Bucket
November 6, 2008 1:39 AM Subscribe
I have a bucket containing N
white marbles and N-M
black marbles. I need to grab a handful of marbles (n
) and figure out the probability of having picked up m
posted by Blazecock Pileon to Science & Nature (16 answers total) 7 users marked this as a favorite
At first, I thought I could use the hypergeometric distribution
. But there's a complication, namely that the white marbles are not equally distributed in my bucket.
In other words, if my handful of marbles contains one white marble, I'm more likely to have picked up one or more additional white marbles in my hand, and this probability is different depending on how many white marbles I may have picked up.
Is there a good approach to modeling or simulating this kind of situation?