Example involving calculation of Conditional Probability and Independent Events for picking of a deck of cards

 

Example involving calculation of Conditional Probability and Independent Events for throw of fair dice

 

Example on Probability Calculation of a Random Event involving draw from a Box of Coloured Balls

 

Example Question on Calculation of Probability of Occurence of Events with relation to draw of balls from a box

 

Theorems on Probability and Statistics in relation to Set Operations on Events and associated Samples

 

Bayes Theorem or Bayes Rule in calculation of probability of Conditional Mutually Exclusive Events

 

Theorems on Conditional Probability with relation to intersection of Events

 

Theorems on Probabilities extended and assignment of Probabilities

 

Theorems on Probability of Occurrence of Events

 

Classical Approach and Frequency Approach to the Concept of Probability

 

Description of Events within a Sample Space with relation to Operations such as Union , Intersection , Complement , Subtraction

 

Concept of Events in a Sample Space

 

22 - Independent Events in Probability and Statistics

 

17 - Theorems on Probability ( overview )

 

14 - Concept of Probability with relation to Chance

 

Write a program in Python to calculate the factorial value of a number

 Write a program in Python to calculate the factorial value of a number

When we talk about factorial of a number , then the factorial of that number can be represented in the following manner :

n! = n * (n-1) * (n-2) * (n-3)

So , if one wants to calculate the factorial of a number using a logical code construct , then one may write the same using a decremental loop and the loop iteration would work till the value of the loop iterator reaches the value of '1' and in each of the step of iteration , the cumulative value of the product of the number with a number decremented by 1 at each of the step is multiplied with each other at each of the steps .

Let this be represented in the following manner :

product = 1

while n >= 1:

    product = product * n

    n = (n-1)

Here , first the value of product is initialized to 1 which is the cumulative product of the values is multiplied at each of the step iterated over a while loop and then product of the cumulative end result is published at product of the cumulative end result is published at the end when value of n happens tobe either 1 or greater than or equal to 1 which self deprecates to the value of 1 by reducing the value of n by 1 in each of the steps till the while loop evaluates to the condition true in each of the looping iterations at each of the steps within the while loop The program for the above evaluation can be given in the following manner :

def fact(n):

    """ find the factorial value """

    product = 1

    while n >= 1:

    product = product * n

    n = n - 1

    return product

""" display the factorials of first 10 numbers call fact() function and pass the numbers from 1 to

10 within the fact function as a parameter """

for i in range(1,11):

    print(' Factorial of {} is {}'.format(i,fact(i)))

Output

======

Factorial of 1 is 1

Factorial of 2 is 2

Factorial of 3 is 6

Factorial of 3 is 6

Factorial of 4 is 24

Factorial of 5 is 120

Factorial of 6 is 720

Factorial of 7 is 5040

Factorial of 8 is 40320

Factorial of 9 is 362880

Factorial of 10 is 3628800

theorems on probability - a short summary to the topic of probability

 theorems on probability - a short summary to the topic of probability 

theorems on probability - a short summary to the topic of probability

 theorems on probability - a short summary to the topic of probability 

theorems on probability - a short summary to the topic of probability part 2

 theorems on probability - a short summary to the topic of probability part 2

theorems on probability - a short summary to the topic of probability

 theorems on probability - a short summary to the topic of probability