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Machine Learning - Lab Programs


Aim:

The probability that it is Friday and that a student is absent is 3%. Since there are 5 school days in a week, the probability that it is Friday is 20%. What is theprobability that a student is absent given that today is Friday? Apply Baye’s rule in python to get the result.(Ans: 15%)

Source Code:

Week1.py

''' Aim : The probability that it is Friday and that a student is absent is 3 %. Since there are 5 school days in a week, the probability that it is Friday is 20 %. What is the probability that a student is absent given that today is Friday? Apply Baye’s rule in python to get the result.


=================================
Explanation:
=================================
	F : Friday
	A : Absent

	Based on the given problem statement,

	The probability that it is Friday and that a student is absent is 3%
	i.e
	P(A ∩ F)= 3% = 3 / 100 = 0.03 

	and

	The probability that it is Friday is 20%
	i.e

	P(F)=20% = 20/100 = 0.2 

	Then,

	The probability that a student is absent given that today is Friday
	P(A ∣ F)

	By the definition of Baye's rule( conditional probability ), we have

	P(A ∣ F) = P(A ∩ F) / P(F) 


===============================
Source Code :
===============================
	
'''

# The probability that it is Friday and that a student is absent is 3%
pAF=0.03
print("The probability that it is Friday and that a student is absent :",pAF)
# The probability that it is Friday is 20%
pF=0.2
print("The probability that it is Friday : ",pF)
# The probability that a student is absent given that today is Friday
pResult=(pAF/pF)
# Display the Result
print("The probability that a student is absent given that today is Friday : ",pResult * 100,"%")

Output:

image

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Machine Learning Lab Programs

1) The probability that it is Friday and that a student is absent is 3%. Since there are 5 school days in a week, the probability that it is Friday is 20%. What is theprobability that a student is absent given that today is Friday? Apply Baye’s rule in python to get the result.(Ans: 15%) View Solution

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