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You roll $N$ six-sided dice simultaneously. Your score is the highest number rolled. If you play this game many times, what is the expected value (mean) of your score? Input A positive integer ...
#5: Post edited
by
trichoplax
·
2023-07-07T11:34:03Z (10 months ago)
Remove redundant test case bullet point
- You roll $N$ six-sided dice simultaneously. Your score is the highest number rolled. If you play this game many times, what is the expected value (mean) of your score?
- ## 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
- - The expected value (the mean value) of the highest individual dice result when $N$ six-sided dice (with face values 1, 2, 3, 4, 5, 6) are rolled 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 : 3.500000
- 2 : 4.472222
- 3 : 4.958333
- 4 : 5.244599
- 5 : 5.430941
- 6 : 5.560292
- 7 : 5.654117
- 8 : 5.724354
- 9 : 5.778177
- 10 : 5.820159
- ```
- ## 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"
- You roll $N$ six-sided dice simultaneously. Your score is the highest number rolled. If you play this game many times, what is the expected value (mean) of your score?
- ## 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
- - The expected value (the mean value) of the highest individual dice result when $N$ six-sided dice (with face values 1, 2, 3, 4, 5, 6) are rolled 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 : 3.500000
- 2 : 4.472222
- 3 : 4.958333
- 4 : 5.244599
- 5 : 5.430941
- 6 : 5.560292
- 7 : 5.654117
- 8 : 5.724354
- 9 : 5.778177
- 10 : 5.820159
- ```
- ## 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"
#4: Post edited
by
trichoplax
·
2023-07-07T11:31:34Z (10 months ago)
Specify face values of the 6 faces of the dice
- You roll $N$ six-sided dice simultaneously. Your score is the highest number rolled. If you play this game many times, what is the expected value (mean) of your score?
- ## 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
- The expected value (the mean value) of the highest individual dice result when $N$ six-sided dice are rolled 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 : 3.500000
- 2 : 4.472222
- 3 : 4.958333
- 4 : 5.244599
- 5 : 5.430941
- 6 : 5.560292
- 7 : 5.654117
- 8 : 5.724354
- 9 : 5.778177
- 10 : 5.820159
- ```
- ## 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"
- You roll $N$ six-sided dice simultaneously. Your score is the highest number rolled. If you play this game many times, what is the expected value (mean) of your score?
- ## 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
- - The expected value (the mean value) of the highest individual dice result when $N$ six-sided dice (with face values 1, 2, 3, 4, 5, 6) are rolled 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 : 3.500000
- 2 : 4.472222
- 3 : 4.958333
- 4 : 5.244599
- 5 : 5.430941
- 6 : 5.560292
- 7 : 5.654117
- 8 : 5.724354
- 9 : 5.778177
- 10 : 5.820159
- ```
- ## 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"
#3: Post edited
by
trichoplax
·
2023-07-07T01:17:33Z (10 months ago)
Specify six-sided dice in intro following feedback
You roll $N$ dice simultaneously. Your score is the highest number rolled. If you play this game many times, what is the expected value (mean) of your score?- ## 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
- - The expected value (the mean value) of the highest individual dice result when $N$ six-sided dice are rolled 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 : 3.500000
- 2 : 4.472222
- 3 : 4.958333
- 4 : 5.244599
- 5 : 5.430941
- 6 : 5.560292
- 7 : 5.654117
- 8 : 5.724354
- 9 : 5.778177
- 10 : 5.820159
- ```
- ## 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"
- You roll $N$ six-sided dice simultaneously. Your score is the highest number rolled. If you play this game many times, what is the expected value (mean) of your score?
- ## 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
- - The expected value (the mean value) of the highest individual dice result when $N$ six-sided dice are rolled 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 : 3.500000
- 2 : 4.472222
- 3 : 4.958333
- 4 : 5.244599
- 5 : 5.430941
- 6 : 5.560292
- 7 : 5.654117
- 8 : 5.724354
- 9 : 5.778177
- 10 : 5.820159
- ```
- ## 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"
#2: Post edited
by
trichoplax
·
2023-07-06T21:50:42Z (10 months ago)
Specify six-sided dice
- You roll $N$ dice simultaneously. Your score is the highest number rolled. If you play this game many times, what is the expected value (mean) of your score?
- ## 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
- The expected value (the mean value) of the highest individual dice result when $N$ dice are rolled 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 : 3.500000
- 2 : 4.472222
- 3 : 4.958333
- 4 : 5.244599
- 5 : 5.430941
- 6 : 5.560292
- 7 : 5.654117
- 8 : 5.724354
- 9 : 5.778177
- 10 : 5.820159
- ```
- ## 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"
- You roll $N$ dice simultaneously. Your score is the highest number rolled. If you play this game many times, what is the expected value (mean) of your score?
- ## 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
- - The expected value (the mean value) of the highest individual dice result when $N$ six-sided dice are rolled 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 : 3.500000
- 2 : 4.472222
- 3 : 4.958333
- 4 : 5.244599
- 5 : 5.430941
- 6 : 5.560292
- 7 : 5.654117
- 8 : 5.724354
- 9 : 5.778177
- 10 : 5.820159
- ```
- ## 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"
#1: Initial revision
by
trichoplax
·
2023-07-06T21:12:46Z (10 months ago)
Expected value of highest dice rolled
You roll $N$ dice simultaneously. Your score is the highest number rolled. If you play this game many times, what is the expected value (mean) of your score? ## 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 - The expected value (the mean value) of the highest individual dice result when $N$ dice are rolled 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 : 3.500000 2 : 4.472222 3 : 4.958333 4 : 5.244599 5 : 5.430941 6 : 5.560292 7 : 5.654117 8 : 5.724354 9 : 5.778177 10 : 5.820159 ``` ## 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"