As a result of flood damage a supermarket has a very large s

As a result of flood damage a supermarket has a very large stock of tins without labels. Forty percent of the tins contain soup, 30% contain carrots, 25% contain raspberries and 5% contain asparagus. The tins are to be offered for sale at three for 50 pence. If a customer buys three tins estimate 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?

Solution

a)The probability that none of the tins contain asparagus is:

0.40*0.30*0.25=0.03

b)All the three tins contain soup is: 0.40*0.40*0.40=0.064