The document contains a series of problems and activities focused on calculating expected values in different scenarios, including games of chance and real-world applications such as insurance.

Let’s address the main tasks from the file:

1. Coin Flip Game:

   • Calculate probabilities for each event (number of heads in 3 flips).
   • Determine the expected value of the game and analyze winnings/losses over different numbers of games.

2. Six-Sided Dice Game:

   • Determine whether the game is fair or unfair.
   • Calculate probabilities for each outcome and the expected value.
   • Modify the weights to make the game fair or allow "big" winnings while maintaining fairness.

3. Insurance and Risk Analysis:

   • Compute expected value for insurance claims and pricing strategies.
   • Assess the cost-effectiveness of an AppleCare+ policy based on the likelihood of damages.

Would you like me to compute the expected value for one of these games or provide a detailed solution for any part of the document?