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curriculum/challenges/chinese/10-coding-interview-prep/project-euler/problem-267-billionaire.md
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---
id: 5900f4771000cf542c50ff8a
title: 问题267：亿万富翁
title: 'Problem 267: Billionaire'
challengeType: 5
videoUrl: ''
forumTopicId: 301916
dashedName: problem-267-billionaire
---
# --description--
您将获得独特的投资机会。从1英镑的资本开始，你可以选择固定比例f来投注一个公平的硬币投掷1000次投掷。你的回报是对你的投注加倍，你失去了对尾巴的赌注。例如，如果f = 1/4，对于第一次投掷，你下注0.25英镑，如果头部出现你赢得0.5英镑，那么就有1.5英镑。然后你下注0.375英镑，如果第二次折腾是尾巴，你有1.125英镑。选择f以最大限度地提高在1,000次翻转后获得至少1,000,000,000英镑的机会，您成为亿万富翁的机会是多少？假设所有计算都是精确的（没有舍入），但是将答案四舍五入到小数点后面的12位数，形式为0.abcdefghijkl。
You are given a unique investment opportunity.
Starting with £1 of capital, you can choose a fixed proportion, f, of your capital to bet on a fair coin toss repeatedly for 1000 tosses.
Your return is double your bet for heads and you lose your bet for tails.
For example, if f = 1/4, for the first toss you bet £0.25, and if heads comes up you win £0.5 and so then have £1.5. You then bet £0.375 and if the second toss is tails, you have £1.125.
Choosing f to maximize your chances of having at least £1,000,000,000 after 1,000 flips, what is the chance that you become a billionaire?
All computations are assumed to be exact (no rounding), but give your answer rounded to 12 digits behind the decimal point in the form 0.abcdefghijkl.
# --hints--
`euler267()`应返回0.999992836187。
`euler267()` should return 0.999992836187.
```js
assert.strictEqual(euler267(), 0.999992836187);