The URS construction company has submitted two bids, one to build a large hotel in London and the other to build a commercial office building in New York City. The company believes it has a 40% chance of winning the hotel bid and a 25% chance of winning the office building bid. The company also believes that winning the hotel bid is independent of winning the office building bid.

What is the probability the company will win at least one contract?

1. d
2. 0.55
3. 0.45
4. 0.10
5. 0.75

how is the answer to this "0.55"

Harrison Water Sports has three retail outlets: Seattle, Portland, and Phoenix. The Seattle store does 50 percent of the total sales in a year, while the Portland store does 35 percent of the total sales. Further analysis indicates that of the sales in Seattle, 20 percent are in boat accessories. The percentage of boat accessories at the Portland store is 30 and the percentage at the Phoenix store is 25. If a sales dollar is recorded as a boat accessory, the probability that the sale was made at the Portland store is:

1. slightly greater than 0.43
2. 0.35
3. 0.2425
4. None of the above

how is the answer to this "slightly greater than 0.43??

can you please give a detailed explanation on why you took each step and the logic behind them.