data/problems/307.yml
---
:id: 307
:name: Chip Defects
:url: https://projecteuler.net/problem=307
:content: "<var>k</var> defects are randomly distributed amongst <var>n</var> integrated-circuit
chips produced by a factory (any number of defects may be found on a chip and each
defect is independent of the other defects).\n\nLet p(<var>k,n</var>) represent
the probability that there is a chip with at least 3 defects. \nFor instance p(3,7)
≈ 0.0204081633.\n\nFind p(20 000, 1 000 000) and give your answer rounded to 10
decimal places in the form 0.abcdefghij\n\n"