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fix(curriculum): clean-up Project Euler 261-280 (#42905)

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* fix: clean-up Project Euler 261-280

* fix: typo

* fix: typo

* fix: typo
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2021-07-24 09:09:54 +02:00
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14
curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-267-billionaire.md
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@ -10,22 +10,22 @@ dashedName: problem-267-billionaire
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.
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.
For example, if $f = \frac{1}{4}$, 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?
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()` should return 0.999992836187.
`billionaire()` should return `0.999992836187`.
```js
assert.strictEqual(euler267(), 0.999992836187);
assert.strictEqual(billionaire(), 0.999992836187);
```
# --seed--
@ -33,12 +33,12 @@ assert.strictEqual(euler267(), 0.999992836187);
## --seed-contents--
```js
function euler267() {
function billionaire() {
return true;
}
euler267();
billionaire();
```
# --solutions--