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:
• Learn Python in Malayalam
Chapter 1 - • Learn Python in Malayalam | For Ultim...
Introduction to programming
Introduction to Python
Introduction to Google Co-lab
How to setup Google Co-lab
Chapter 2 - • Learn Python in Malayalam | Chapter 2...
Python Identifiers
Lines and Indentation
Multi-Line Statements
Chapter 3 - • Learn Python in Malayalam | Chapter 3...
Quotation in python
Comments in python
Assigning values to variable
Chapter 4 - • Learn Python in Malayalam | Chapter 4...
Data types
Numbers
Strings
Chapter 5 - • Learn Python in Malayalam | Chapter 5...
Data types
Lists
Tuple
Dictionary
Chapter 6 - • Learn Python in Malayalam | Chapter 6...
Decision making
Chapter 7 - • Learn Python in Malayalam|Chapter 7| ...
Loops in Python
Chapter 8 - • Learn Python in Malayalam | Chapter 8...
Functions in python
Chapter 9 - • Learn Python in Malayalam | Chapter 9...
Classes in python
Chapter 10 - • Learn Python in Malayalam |Chapter 10...
Matrix in python
Chapter 11 - • Learn Python in Malayalam|Chapter 11 ...
Plotting in Python
Chapter 12 - • Learn Python in Malayalam|Chapter 12|...
File handling in python
Chapter 13 - • Learn Python in Malayalam | Chapter 1...
System linear equation solution
Example with explanation
Program for solving linear equation
Chapter 14 - • Learn Python in Malayalam|Chapter 14 ...
differentiation in python
power rule
product rule
multi-variable function
first order differential equation response
Chapter 15 - • Learn Python in Malayalam | Chapter 1...
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...
https://www.w3schools.com/
https://towardsdatascience.com/taking...
ECL 201 SCIENTIFIC COMPUTING LABORATORY
Experiment 9: Coin Toss and the Level Crossing Problem
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