logo
down
shadow

Probability mass function sum 2 dice roll?


Probability mass function sum 2 dice roll?

Content Index :

Probability mass function sum 2 dice roll?
Tag : python , By : Nathan Good
Date : January 12 2021, 07:00 PM

Hope that helps Looking at the graph, it seems like the area between the tick mark for 2 and 3 is the number of rolls that sum to 2. 3-4 is 3, and so on.
Is it possible that between tick marks 11 and 12 contains the number of rolls that sum to 11 and 12? It could explain why the graph seems shorter on the right side than it should be, as well as why the last bar is taller than expected.

Comments
No Comments Right Now !

Boards Message :
You Must Login Or Sign Up to Add Your Comments .

Share : facebook icon twitter icon

Combinatorics Counting Puzzle: Roll 20, 8-sided dice, what is the probability of getting at least 5 dice of the same val


Tag : python , By : Francesco
Date : March 29 2020, 07:55 AM
it fixes the issue Double counting can be solved by use of the Inclusion/Exclusion Principle
I suspect it comes out to:
Choose(8,1)*P(one set of 5 Xs) 
- Choose(8,2)*P(a set of 5 Xs and a set of 5 Ys) 
+ Choose(8,3)*P(5 Xs, 5 Ys, 5 Zs) 
- Choose(8,4)*P(5 Xs, 5 Ys, 5 Zs, 5 As)

P(set of 5 Xs) = 20 Choose 5 * 7^15 / 8^20
P(5 Xs, 5 Ys) = 20 Choose 5,5 * 6^10 / 8^20

Dice roll game win probability


Tag : python , By : wrb302
Date : March 29 2020, 07:55 AM
wish of those help you should keep the probability at 1/x as this will keep it as a fair dice but make the return larger then x eg x +1 so the expectance is x+1/x for example which means that they will gain money

Understanding the probability of a double-six if i roll two dice


Tag : math , By : koder
Date : March 29 2020, 07:55 AM
it fixes the issue The probablity of not having double six in one throw (all but one outcome divided by all outcomes):
  35/36
(35/36)**N  /* where ** is raising into N-th power */
P(N) = 1 - (35/36)**N
P(100) == 0.94022021...

Calculate probability of a fair dice roll (in non-exponential time)


Tag : algorithm , By : mgz
Date : March 29 2020, 07:55 AM
it should still fix some issue Here's some code that handles dropping low and high rolls. Sorry for switching to Python, but I needed easy bignums and a memoization library to keep my sanity. I think the complexity is something like O(count^3 sides^2 drop_highest).
The way this code works is to divide the space of possibilities for rolling count dice each with sides sides by how many dice are showing the maximum number (count_showing_max). There are binomial(count, count_showing_max) ways to achieve such a roll on uniquely labeled dice, hence the multiplier. Given count_showing_max, we can figure out how many maxed dice get dropped for being high and how many get dropped for being low (it happens) and add this sum to the outcomes for the remaining dice.
#!/usr/bin/env python3
import collections
import functools
import math


@functools.lru_cache(maxsize=None)
def binomial(n, k):
    return math.factorial(n) // (math.factorial(k) * math.factorial(n - k))


@functools.lru_cache(maxsize=None)
def outcomes(count, sides, drop_highest, drop_lowest):
    d = collections.Counter()
    if count == 0:
        d[0] = 1
    elif sides == 0:
        pass
    else:
        for count_showing_max in range(count + 1):  # 0..count
            d1 = outcomes(count - count_showing_max, sides - 1,
                          max(drop_highest - count_showing_max, 0),
                          drop_lowest)
            count_showing_max_not_dropped = max(
                min(count_showing_max - drop_highest,
                    count - drop_highest - drop_lowest), 0)
            sum_showing_max = count_showing_max_not_dropped * sides
            multiplier = binomial(count, count_showing_max)
            for k, v in d1.items():
                d[sum_showing_max + k] += multiplier * v
    return d


def main(*args):
    d = outcomes(*args)
    denominator = sum(d.values()) / 100
    for k, v in sorted(d.items()):
        print(k, v / denominator)


if __name__ == '__main__':
    main(5, 6, 2, 2)

C++: Why does my dice roll function return only even integers when an even number of dice are rolled?


Tag : cpp , By : Christopher
Date : March 29 2020, 07:55 AM
fixed the issue. Will look into that further As @Eljay points out, you are calling srand() once per roll.
Since time(NULL) has a resolution of 1 second, and most likely the function is running within the same second, you are getting the same output, which means individual_roll ends up being the same number.
all_rolls_sum = number_of_dice * individual_roll
Related Posts Related QUESTIONS :
  • Element Tree - Seaching for specific element value without looping
  • Ignore Nulls in pandas map dictionary
  • How do I get scrap data from web pages using beautifulsoup in python
  • Variable used, golobal or local?
  • I have a regex statement to pull all numbers out of a text file, but it only finds 77 out of the 81 numbers in the file
  • How do I create a dataframe of jobs and companies that includes hyperlinks?
  • Detect if user has clicked the 'maximized' button
  • Does flask_login automatically set the "next" argument?
  • Indents in python 3
  • How to create a pool of threads
  • Pandas giving IndexError on one dataframe but not on another similar dataframe
  • Django Rest Framework - Testing client.login doesn't login user, ret anonymous user
  • Running dag without dag file in airflow
  • Filling across a specified dimension of a numpy array
  • Python populating dataframe in pandas from text files
  • How to interpolate a single ("non-piecewise") cubic spline from a set of data points?
  • Divide 2 integers (leetcode 29) - recursion issue
  • Can someone explain why do I get this output in Python?
  • How do I scrape pdf and html from search results without obvious url
  • Is there a way to automatically make a "collage" of plots with matplotlib?
  • How to combine multiple rows in pandas with shared column values
  • How do I get LOAD_CLASSDEREF instruction after dis.dis?
  • Django - How to add items to Bootstrap dropdown?
  • Linear Regression - Does the below implementation of ridge regression finding coefficient term using gradient method is
  • How to drop all rows in pandas dataframe with negative values?
  • Most Efficient Way to Find Closest Date Between 2 Dataframes
  • Execution error when Passing arguments to a python script using os.system. The script takes sys.argv arguments
  • Looping through a function
  • Create a plot for each unique ID
  • a thread python with 'while' got another thread never start
  • Solution from SciPy solve_ivp contains oscillations for a system of first-order ODEs
  • trigger python events driven by selenium controlled browser
  • Passing line-edits to a contextmanager to set validators
  • Python: globals().items() iterations try to change a dict
  • Is it possible to specify starting values for each parameter (instead of bounds) for scipy's differential evolution?
  • why datetime.now() and constructed datetime using all fields(like year,month...) of now has big timedelta?
  • MySQL multiple table UPDATE query using sqlalchemy core?
  • find if a semantic version is superset of of another version python
  • Type checking against dynamically created objects
  • Struggling with simple reverse function
  • Is there a function for finding the midpoint of n points on sklearn.neighbors.NearestNeighbors?
  • How to set max number of tweets to fetch
  • PYTHON 3.7.4 NOT USING SQLITE 3.29.0
  • How to replace Nan value with zeros in a numpy array?
  • How to speed up calculating variance among sparse matrix
  • cupy code is not fast enough compared with numpy
  • How to count frequency of select values in Python pandas dataframe
  • Scrape Span Text from Google
  • Python watchdog, watch a directory and rename file on event.modification
  • Filtering rows in DataFrame with dependent conditions
  • How to check if a character is a not a part of number or URL in string?
  • Compare corresponding elements of a list
  • Python misinterprets 3 character string as UTF-8 continuation byte
  • Merge two columns in Pandas
  • Side Effect error in Python in an online compiler
  • How to convert a navigation list with depth levels to a parent-child flat list?
  • Retrieving values from a paired key dictionary in Python
  • How to test the current text of a Tkinter text box widget before inserting new text after user clicks on a button?
  • computing the Cumulative Sum, where Sum can be reset by a condition
  • Where do you specify your API key when making a request with the Google API python library?
  • shadow
    Privacy Policy - Terms - Contact Us © scrbit.com