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Bag A contains 3 black balls and 2 white balls. Bag B contains 1 black...

Bag A contains 3 black balls and 2 white balls.
Bag B contains 1 black ball and 3 white balls.
a. A ball is taken at random from each bag.
i.Show that a black ball is more likely to be taken from bag A than from bag B
ii.Find the probability that the two balls have different colours.

b.The balls are returned to their original bags.
Three balls are taken at random from bag A ,without replacement.
Find the probability that ;
i.They are all black
ii.They are all white

c.The balls are returned to their original bags.
A ball is taken at random from bag A and it's colour is recorded .
This ball is placed in bag B
A ball is then taken at random from bag B
Find the probability that the ball taken from bag B has a different color to the ball taken from bag A?

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