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Ask HN: Random numbers using bloom filter

I was thinking of this idea: suppose we have a bloom filter with elements in it say a, aa, aaa etc. such that probability of a false positive is exactly 50%, now to generate a random number with 3 digits (in binary) test if elements b, bb, bbb are in the set and if it's no write 0 else 1. What do you think of this method?
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