Nancy has 8 socks in a drawer. 5 of the socks are black. 3 of the socks are white. Nancy takes out a sock at random, writes down its colour and puts it back into the drawer. Then Nancy takes out a second sock, at random, and writes down its colour.
(a) Construct a probability tree diagram of the situation given above.
(b) Work out the probability that the two socks are of the same colour.
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