The lemon company produces 40%of its cars at plant A and the remainder at plant B.

The lemon company produces 40%of its cars at plant A and the remainder at plant B. Of all cars produced at plant A, 20% do not have a spare tire, while 30% of the cars produced at B do not have a spare tire. A Lemon is purchased, and it happens to have a spare tire.

what is the probability that it was produced at plant B