''' 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.
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Explanation:
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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)
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Source Code :
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'''
# 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,"%")
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