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Problem 307: Chip Defects

curriculum/challenges/english/blocks/project-euler-problems-301-to-400/5900f4a01000cf542c50ffb2.md

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--description--

$k$ defects are randomly distributed amongst $n$ 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).

Let $p(k,n)$ represent the probability that there is a chip with at least 3 defects. For instance $p(3,7) ≈ 0.0204081633$.

Find $p(20\,000, 1\,000\,000)$ and give your answer rounded to 10 decimal places in the form 0.abcdefghij

--hints--

chipDefects() should return 0.7311720251.

js
assert.strictEqual(chipDefects(), 0.7311720251);

--seed--

--seed-contents--

js
function chipDefects() {

  return true;
}

chipDefects();

--solutions--

js
// solution required