Garage = 45% BMWs, 30% Jaguars, and 25% Porches. Of the BMWs, 80% have airbags, 30% Jaguars have airbags, and 40% Porches have airbags. 50% BMWs, 60% Jaguars, and 70% Porches are white. The property of being white is independent from having airbags. You pick a car randomly.

If the car has airbags and is white, what is the prob. that it is a BMW?

Question

Garage = 45% BMWs, 30% Jaguars, and 25% Porches. Of the BMWs, 80% have airbags, 30%  Jaguars have airbags, and 40% Porches have airbags. 50% BMWs, 60%  Jaguars, and 70% Porches are white. The property of being white is independent from having airbags. You pick a car randomly.

If the car has airbags and is white, what is the prob. that it is a BMW?

anonymous · Answer

@DanielxAK I'm not sure how to do these independent events

anonymous · Answer

Airbags are dependent on the type of car. Color is dependent on the type of car. Draw two tables, one for each of those. P(AB) =P(A)P(B) if A & B independent. So, find P(A) from your first table and P(B) from your second table. Then, you'll know P(AB).

anonymous · Answer

What did you define as A and B?

anonymous · Answer

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