freeCodeCamp/curriculum/challenges/en/08-coding-interview-prep/project-euler/problem-267-billionaire.en.md

id, challengeType, title

id	challengeType	title
5900f4771000cf542c50ff8a	5	Problem 267: Billionaire

Description

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.

Instructions

Tests

- text: <code>euler267()</code> should return 0.999992836187.
  testString: 'assert.strictEqual(euler267(), 0.999992836187, ''<code>euler267()</code> should return 0.999992836187.'');'

Challenge Seed

function euler267() {
  // Good luck!
  return true;
}

euler267();

Solution

// solution required