Bayes theorem.

recent college graduate vika is faced with the tough decision of buying her first car. the dealership that she visits has the coupe body style that she likes and offers 3 shades of red and 3 shades of blue body color. there are also a few sedans that she likes in 3 different shades of red and 10 shades of blue. unable to decide, vika first takes one coupe catalog and two copies of a sedan catalog and randomly chooses between the three, and then, with her eyes closed, points to a picture within the chosen catalog. if she leaves the parking lot in a brand new red car, find the probability that the car is a coupe. recent college graduate vika is faced with the tough decision of buying her first car. the dealership that she visits has the coupe body style that she likes and offers 3 shades of red and 3 shades of blue body color. there are also a few sedans that she likes in 3 different shades of red and 10 shades of blue. unable to decide, vika first takes one coupe catalog and two copies of a sedan catalog and randomly chooses between the three, and then, with her eyes closed, points to a picture within the chosen catalog. if she leaves the parking lot in a brand new red car, find the probability that the car is a coupe.