# Chance of filling a bucket

If I have 10 buckets each with a capacity of 6 blocks and I am adding blocks to the bucket without taking them out how can I work out how many blocks I can process while having x% chance of filling a bucket. There is an equal chance (y%) of each block I process going in to a bucket.

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What have you tried? –  leonbloy Jun 30 '11 at 20:03
Can you determine what y must be, given 10 buckets, each of which has an equal chance that any given block processed will placed in it? That's a start...I'm assuming you want to express, in terms of x, the number of blocks you can process before/until filling a bucket? It's not entirely clear what your asking, given what you wrote (and what you didn't write). –  amWhy Jun 30 '11 at 20:29
If I understand correctly, then given $x$, you want to know how many blocks you can process before the chance of a block becoming full exceeds $x\%$. Right? It would perhaps make more sense to ask for the number of blocks you can process before the chance of a block overflowing exceeds $x\%$, but never mind. Also $y=10$. –  TonyK Jun 30 '11 at 22:03
@Tony: I was asking the user if he could figure out y...hinting with my question...Sorry if you took that hint to be a question I needed answering! –  amWhy Jun 30 '11 at 23:56
So I know y = 17% but I want to be able to see for different values of X how many block I can process. I am willing to accept a value of 1% for X and want to know how many blocks that means I can process. I am also keen to see how the number of blocks I can process changes with higher values of X. Thanks. –  James Jul 1 '11 at 1:54