Answer :
Let A be the event that car delivered to firm needs service and tuning.
Also, let E1, E2 and E3 be the events of car being rented from agencies X, Y and Z respectively.
Probability of car being rented from x=
Probability of car being rented from y=
Probability of car being rented from z=
Also,
We know from Bayes’ theorem,
We know that P(a’) = 1 – P(a), so,
Hence,
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