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At a factory 120 candidates have to be interviewed:48 for carpentry,32 for masonry and 40 for plumbing.Past experience indicates that 80% would pass carpentry,45% would pass masonry and 60% would pass plumbing.
(a) A candidate is picked at random.Find the probability that
(i) he is to be interviewed for the carpentry.
(ii) he is to be interviewed for masonry and would pass.
(iii) he would pass the interview.
(b) How many candidates are expected to pass their interviews?