🔒 monte carlo simulation

[cobalt cradle]

@primal notch

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[wise stone]

what's the issue?

[thin wraith]

what is the code, and what issue you're having? please don't say that we should provide all of them without you trying. if yes, then at least try solving the question.

we can give you a few hints tho.

ok i gotta go to sleep im sorry

[stoic crow]

https://www.pythondiscord.com/pages/guides/pydis-guides/asking-good-questions/
look at this.
Share your code, explain what thing does not work and how it is excpected to work

[primal notch]

i solved first but not able to to come up with logic for second and how to start it

[primal notch]

logic and how to start

[neon wigeon]

What is the first, and what is the second?

[primal notch]

edited , there were 2 questions got answer for 1st

[neon wigeon]

Sorry, i only see one task

To print the probability given the described setup

[primal notch]

A table has a chessboard integrated into the centre of the table. A round coin fits exactly inside of a square on a chessboard. The coin is dropped to land flat on the table, with at least a part of the coin on the chessboard. Using Monte Carlo simulation, what is the probability that the coin covers the corner of four chessboard squares?

#chess board = 8x8
#board across the chess board = 0.5 away from the edge
#circle radius = 0.5 (half of edge of sqaure)
import random as ra
area_of_circle = (22/7)0.50.5

Area_of_possible_area = (99)-(11)+((22/7)0.50.5)
count = 0
n_trails = 100000

for i in range(n_trails):
x = ra.uniform(0,Area_of_possible_area)

if x >= 0 and x<= (49*area_of_circle):
count+=1
else:
pass

probability = count/n_trails

print(probability)

[neon wigeon]

!code

[cobalt cradle]

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[wise stone]

the purpose of a monte carlo simulation is to complete a set of actions step by step many times (e.g. millions) and then use the outcome of each set of actions to determine the probability of something happening. In Liam's case, he has 16 squares, let's say 8 white, 8 black. One by one, populate a 4x4 grid with either a black or a white square and once the board is complete, compare it against a valid checkerboard to see if your combination is valid. Repeat many times and count how many valid vs invalid boards there are and their ratio is the probability you're after

[cobalt cradle]

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🔒 monte carlo simulation