62 lines
1.1 KiB
Markdown
62 lines
1.1 KiB
Markdown
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---
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id: 5900f48a1000cf542c50ff9d
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challengeType: 5
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title: 'Problem 286: Scoring probabilities'
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forumTopicId: 301937
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---
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## Description
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<section id='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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</section>
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## Instructions
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<section id='instructions'>
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: <code>euler286()</code> should return 52.6494571953.
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testString: assert.strictEqual(euler286(), 52.6494571953);
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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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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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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