Give proper fractions and condition on both people finding jobs

Express all answers as proper fractions. In 2013,60% of the unemployed citizens of country A were graduates. Within a year,70% of these unemployed graduates found a job, while 40% of the unemployed non-graduates found one.

(i) A person unemployed in 2013 is chosen at random. Find the probability the person is not a graduate, given no job has been found.3 marks

(ii) Two people unemployed in 2013 are chosen at random. Find the probability that

(a) exactly one found a job within a year,2 marks

(b) exactly one is a graduate, given both found jobs within a year.3 marks