43 lines
894 B
Markdown
43 lines
894 B
Markdown
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---
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id: 5900f48a1000cf542c50ff9d
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title: 'Problem 286: Scoring probabilities'
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challengeType: 5
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forumTopicId: 301937
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dashedName: problem-286-scoring-probabilities
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---
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# --description--
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Barbara is a mathematician and a basketball player. She has found that the probability of scoring a point when shooting from a distance x is exactly (1 - x/q), where q is a real constant greater than 50.
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During each practice run, she takes shots from distances x = 1, x = 2, ..., x = 50 and, according to her records, she has precisely a 2 % chance to score a total of exactly 20 points.
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Find q and give your answer rounded to 10 decimal places.
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# --hints--
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`euler286()` should return 52.6494571953.
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```js
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assert.strictEqual(euler286(), 52.6494571953);
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```
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# --seed--
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## --seed-contents--
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```js
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function euler286() {
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return true;
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}
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euler286();
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```
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# --solutions--
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```js
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// solution required
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```
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