1 On each day that Tamar goes to work, he wears either a blue suit with probability 0.6 or a grey suit with probability 0.4 . If he wears a blue suit then the probability that he wears red socks is 0.2 . If he wears a grey suit then the probability that he wears red socks is 0.32 .
- Find the probability that Tamar wears red socks on any particular day that he is at work.
- Given that Tamar is not wearing red socks at work, find the probability that he is wearing a grey suit.