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Probability of rolling all 6 dice faces

The probability of rolling every number from 1 to 6 with $N$ six-sided dice.

## Input
- A positive integer $N$.
- Your code must work for inputs up to and including 10, but may crash, error, or give incorrect output for larger inputs.

## Output
- A probability, $0 \le p \le 1$
- This is the probability of seeing every number from 1 to 6 at least once after rolling $N$ six-sided dice simultaneously.
- For inputs up to and including 10, your output is valid if rounding it to 6 decimal places results in the output shown in the test cases.

*Note that this means that if you find an incorrect algorithm that happens to give the correct result when rounded to 6 decimal places for inputs from 1 to 10, that is still a valid entry.*

## Test cases
- Test cases are in the format `input : output`.

```text
1 : 0
2 : 0
3 : 0
4 : 0
5 : 0
6 : 0.015432
7 : 0.054012
8 : 0.114026
9 : 0.189043
10 : 0.271812
```

## Scoring
This is a [code golf challenge]. Your score is the number of bytes in your code.

> Explanations are optional, but I'm more likely to upvote answers that have one.


[code golf challenge]: https://codegolf.codidact.com/categories/49/tags/4274 "The code-golf tag"