A statistical survey found that 20% of cars are red, and 10% are electric cars. It was further discovered that of all cars that are either red or electric, 50% are both red and electric. a) What is the probability P[R ∩ E] that a car is both red and electric? b) What is the conditional probability P[E|R] that a red car is electric? c) What is the conditional probability P[R|E] that an electric car is red?