5 Each day the probability that Ashwin wears a tie is 0.2 . The probability that he wears a jacket is 0.4 . If he wears a jacket, the probability that he wears a tie is 0.3 .
- Find the probability that, on a randomly selected day, Ashwin wears a jacket and a tie.
- Draw a Venn diagram, using one circle for the event 'wears a jacket' and one circle for the event 'wears a tie'. Your diagram should include the probability for each region.
- Using your Venn diagram, or otherwise, find the probability that, on a randomly selected day, Ashwin
(A) wears either a jacket or a tie (or both),
(B) wears no tie or no jacket (or wears neither).