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

vazelinahS

vazelinahS

Answered question

2021-11-02

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 the oil had to be changed, what is the probability that a new oil filter is needed ?

Answer & Explanation

Liyana Mansell

Liyana Mansell

Skilled2021-11-03Added 97 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 the oil had to be changed, the probability that a new oil filter is needed :
Lets define event C as automobile being filled with gasoline and needs an oil change, event O as automobile needs oil filter.
The corresponding probabilities are,
P(C)= 0.35 P(C∩O)=0.25 The required probability is, P(OC)=P(CO)/P(C)=0.25/0.35=0.7143

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