All the answers to this question should be given either as fractions in their lowest terms or as decimals correct to three significant figures.

(a) A man draws one card at random from a complete pack of 52 playing cards, replaces it and then draws another card at random from the pack. Calculate the probability that (i) both cards are clubs, (ii) exactly one of the cards is a Queen, (iii) the two cards are identical.

(b) On another occasion the man draws simultaneously two cards at random from the pack of cards. Calculate the probability that (i) exactly one of the cards is a Queen, (ii) the two cards are identical. (C)