5.15 As a result of flood damage a supermarket has a very large stock of tins without labels. Forty per cent of the tins contain soup, 30 per cent contain carrots, 25 per cent contain raspberries, and 5 per cent contain asparagus. The tins are to be offered for sale at three for 50 pence. When a customer buys three tins what is the probability that:

(a) None of the tins contain asparagus?

(b) All three tins contain soup?

(c) One tin contains raspberries?

(d) Two tins contain carrots?

(e) The contents of the three tins are different?