Bag 1 contains 3 red balls and 7 green balls. Bag 2 contains 8red balls and 4 green balls. Bag 3 contains 5 red balls and 11green balls. Bag 1 is chosen twice as often as either Bag 2 or Bag3 (which have the same probability of being chosen). After a bag ischosen, a ball is chosen at random from that bag. Calculate theprobability that:
a) a red ball is chosen
b) a red ball from Bag 2 is chosen
c) if it is known that a red ball is chosen, what is theprobability that it comes from Bag 2?
