Yesterday, car lot Alpha had three Toyotas and one Chevrolet for sale. Car lot Beta had two Toyotas and five Chevrolets for sale. This morning Matt bought a car, choosing one of the two lots at random and then choosing a car at random from that lot. What is the probability that Matt bought from Alpha?
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
P(Alpha) =
If Matt bought from Alpha, what is the probability he bought a Toyota?
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
P(Toyota given Alpha) =
If Matt bought from Beta, what is the probability he bought a Toyota?
(Express numbers in exact form. Use symbolic notation and fractions where needed.)