Total probability of a win from home and away results, and the conditional probability that a match not won was played at home

Over a season, \(65\%\) of a football team's matches are played at its home ground and the rest are played away. The team wins \(83\%\) of the matches it plays at home and \(26\%\) of the matches it plays away. One match from the season is chosen at random.

1. Find the probability that the team won this match.[4]
2. Given that the team did not win this match, find the probability that it was played at home.[4]