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Two bags A and B contains identical balls except for the colours. Bag A contain 4 red balls 3 and 2 yellow balls. Bag B contains 2 red balls and 3 yellow balls.
(a) If a ball is drawn at random from each bag, find the probability that both balls are of the same colour.
(b) If two balls are drawn at random from each bag, one ball one ball at a time without replacement, find the probability that
(i) The two balls drawn from bag A or bag B are red.
(ii) All the four balls drawn are red.