1. I am in the market for a new car. I am deciding between two makes: Mercedes benz and Chevrolet. I prefer Chevrolet, and have a 0.8 chance of picking A Mercedes. Once I pick a make, I have to decide between a truck or an SUV. The Chevrolet rucks are really nice, and I have a probability of 0.4 of buying a Chevrolet, whereas at Mercedes, I prefer the (SUV) over the (truck), and have only a 0.55 probability of buying the Honda truck.
2. (a) What's the probability of buying a Mercedes and buying a truck? (b) What's the probability of buying a Chevrolet and buying an SUV?
3. (c) If I get a truck, what is the probability of buying a Chevrolet?
4. (d) Are the events of buying a truck and buying a Mercedes independent? Explain