Hilton Toronto Airport Hotel & Suites is a hotel locates close to Toronto Pearson Airport. Whenever Toronto has a severe snowstorm, many flights are delayed and eligible passengers will be arranged to stay in nearby hotels, including Hilton.

You are the manager of Hilton and having reviewed the records of past 10 years, you find:

• the chance of having a severe snowstorm during the winter season is 0.15
• the chance of having high occupancy during the winter season is 0.35
• amongst the days your hotel has high occupancy during the winter season, 20% of them were days that had a severe snowstorm

According to the weather forecast, this weekend will have a severe snowstorm. What is the probability that you will have high occupancy during this weekend?

Show all your calculations in detail.