The local hockey team is having a raffle to raise money. The team is selling 2500 tickets, and there will be two draws. The first draw is for the...

The local hockey team is having a raffle to raise money. The team is selling 2500 tickets, and there will be two draws. The first draw is for the grand prize—a trip for two to an all-inclusive resort. The second draw is for the consolation prize—an HDTV. After each draw, the winning ticket is not returned to the raffle.

You buy 10 tickets for the raffle.

1. Calculate the probability of winning the HDTV.
2. What is the probability of winning at least one prize?
3. How could you change the rules of the raffle to make the events independent?
4. List at least two parameters you can change to give you better odds of winning the HDTV. Explain, by stating the change in the parameter and by showing mathematically, why this change of parameters increases the odds. Record you answer in a chart like the following.