Learn Python in Malayalam|Chapter 16 | Probability in Python | Coin toss problem | absolute error

Learn Python in Malayalam|Chapter 16|Probaility in Python| Coin toss problem

This is the 16th video on Learn python in Malayalam. This video clearly explains below topics,
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Topics covered in this video
Coin toss program - 00:23
calculating probability - 04:57
plotting absolute error plotting -- 07:53

Program used
# Program for coin toss
import random
def coinToss(number): # defining the function for coin toss
recordList= [] # multiple assignment
for i in range(number): # do this 'number' amount of times
flip = random.randint(0, 1)
if (flip == 0): # here if condition is not neccessory
# print("Heads")
recordList.append(1)
else:
# print("Tails")
recordList.append(0)
print("Coin Toss result is :",str(recordList))
print("No of Heads :",recordList.count(1), "No of Tails :",recordList.count(0))

coinToss(10) # calling the function with 10 flips


# program for calculating probability of coin toss
import random
import matplotlib.pyplot as plt
N = 50
ab_errList = []
recordList= []

for i in range(N): # do this 'number' amount of times
flip = random.randint(0, 1)
if (flip == 0):
# print("Heads")
recordList.append(1)
else:
# print("Tails")
recordList.append(0)
# print("Coin Toss result is :",str(recordList))
print("Value of N is :",N)
print("No of Heads :",recordList.count(1), "No of Tails :",recordList.count(0))
Prob_H = (recordList.count(1))/N
Prob_T = (recordList.count(0))/N
print("Probability of Head is :",Prob_H)
print("Probability of Tail is :",Prob_T)
ab_err = 0.5 - Prob_H
print("Absolute error :",round(ab_err,3))
print("")
ab_errList.append(round(ab_err,3))

# Program for plotting absolute error of coin toss
import random
import matplotlib.pyplot as plt
N = [10, 100, 500,1000,5000,10000,50000]
ab_errList = []
for j in N:
recordList= []

for i in range(j): # do this 'number' amount of times
flip = random.randint(0, 1)
if (flip == 0):
# print("Heads")
recordList.append(1)
else:
# print("Tails")
recordList.append(0)
# print("Coin Toss result is :",str(recordList))
print("Value of N is :",j)
print("No of Heads :",recordList.count(1), "No of Tails :",recordList.count(0))
Prob_H = (recordList.count(1))/j
Prob_T = (recordList.count(0))/j
print("Probability of Head is :",Prob_H)
print("Probability of Tail is :",Prob_T)
ab_err = 0.5 - Prob_H
print("Absolute error :",round(ab_err,3))
print("")
ab_errList.append(round(ab_err,3))

print(ab_errList)
plt.plot(N,ab_errList)
plt.title("N vs Absolute error")
plt.xlabel("N")
plt.ylabel("Absolute error")
plt.show()

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Learn Python in Malayalam Playlist:
https://www.youtube.com/playlist?list=PLmKq-kgKY8uZya3cwcX6otT61NPHXbTK0

Chapter 1 - https://youtu.be/WiyQ8wTsRO0
Introduction to programming
Introduction to Python
Introduction to Google Co-lab
How to setup Google Co-lab

Chapter 2 - https://youtu.be/YFngtW42Mls
Python Identifiers
Lines and Indentation
Multi-Line Statements

Chapter 3 - https://youtu.be/gxalG8Aps0A
Quotation in python
Comments in python
Assigning values to variable

Chapter 4 - https://youtu.be/AaEL_f2RHIk
Data types
Numbers
Strings

Chapter 5 - https://youtu.be/irND35-6BZ0
Data types
Lists
Tuple
Dictionary

Chapter 6 - https://youtu.be/MRfg2QZBHvE
Decision making

Chapter 7 - https://youtu.be/VYXndepcTCM
Loops in Python

Chapter 8 - https://youtu.be/d7Y2D9H4u7c
Functions in python

Chapter 9 - https://youtu.be/hFOTKyYCkdw
Classes in python

Chapter 10 - https://youtu.be/w-_x2vfpJk0
Matrix in python

Chapter 11 - https://youtu.be/-7DB7OEenms
Plotting in Python

Chapter 12 - https://youtu.be/aID_Dlx-oys
File handling in python

Chapter 13 - https://youtu.be/zk6Fcs-NY6I
System linear equation solution
Example with explanation
Program for solving linear equation

Chapter 14 - https://youtu.be/7k5oATBKrd8
differentiation in python
power rule
product rule
multi-variable function
first order differential equation response

Chapter 15 - https://youtu.be/BoEPyohAvtI
integration in python
integration with double integral
integration with triple integral
integration with infinity limit


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Important links & key words

https://www.python.org/
Google COLAB

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Reff : https://www.tutorialspoint.com/python/python_variable_types.htm
https://www.w3schools.com/
https://towardsdatascience.com/taking-derivatives-in-python-d6229ba72c64

ECL 201 SCIENTIFIC COMPUTING LABORATORY
Experiment 9: Coin Toss and the Level Crossing Problem