## Tuesday, February 4, 2014

### Expected number of draws

In an urn there are $n$ balls each with weight $w_i$, drawn one at a time without replacement. At any point of drawing, the probability of a ball being drawn is proportional to its weight. What's the expected number of draws before we draw ball 1?

Labels:
Algebra,
Combinatorics,
drawing,
expected value,
probability,
replacement

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