The probability that an automobile being filled with gasoline will also need an

Globokim8

Globokim8

Answered question

2021-10-23

The probability that an automobile being filled with gasoline will also need an oil change is 0.35; the probability that it needs a new oil filter is 0.45; and the probability that both the oil and filter need changing is 0.25.
If a new oil filter is needed, what is the probability that the oil has to be changed ?

Answer & Explanation

gwibdaithq

gwibdaithq

Skilled2021-10-24Added 84 answers

The probability that an automobile being filled with gasoline will also need an oil change is 0.35
The probability that it needs a new oil filter is 0.45
The probability that both the oil and filter need changing is 0.25.
If a new oil filter is needed, the probability that the oil has to be changed :
The corresponding probabilities are,
P(O)=0.45
(C∩O)=0.25
The required probability is,
P(C∣O)=P(C∩O)/​P(O)
=0.25/0.45
= 0.5556

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