contestada

The probability that an automobile being filled with gasoline also needs an
oil change is 0.25; the probability that it needs a new oil filter is 0.40; and
the probability that both the oil and the filter need changing is 0.14.
(a) If the oil has to be changed, what is the probability that a new oil
filter is needed?
(b) If a new oil filter is needed, what is the probability that the oil has to
be changed?

Relax

Respuesta :

P(B | A) = probability of B given A

P(B | A) = P(B and A) / P(A)

thus

P(new oil filter | oil change) = P(both) / P(oil change)

= 0.14 / 0.25

(b) = 0.14 / 0.4

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