Answer :

Let A be the event that car delivered to firm needs service and tuning.

Also, let E_{1}, E_{2} and E_{3} 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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