Question

I am super confused ok this certain question. The question is: An automobile manufacturer has factories in Atlanta, Boston, and Charlotte. They produce 30%,45%, and 25%, respectively, of a specific model of car. Thirty percent of the cars produced in Atlanta are blue, 25% of those produced in Boston are blue, and 20% produced in Charlotte are blue. If an automobile produced by the company is selected at random, what is the probability that it is blue?

Maybe I am just missing how to do it but I have a brain fog where I can’t figure it out. Thanks in advance!

Answer 1

Hello Sir/ Mam

YOUR REQUIRED ANSWER IS 25.25%

Let A be the event that the car is manufactured in Atlanta.

Let B be the event that the car is manufactured in Boston.

Let C be the event that the car is manufactured in Charlotte.

Let Blue be the event that the manufactured car is blue.

Now, given :

We have to find the probability that automobile selected at rando is blue. Hence, we have to find P(Blue).

Using Total Probability formula:

I hope this solves your doubt.

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