Suppose you are out on the town with friends and you all end up at a local casino. The rules at one table are as follows: You win $1 if the die comes up with an odd number and you lose $1 if it comes up even.

- Suppose you get 22 odd numbers in your first 50 rolls. How much have you won or lost?

- On the second 50 rolls, your luck improves and you roll 24 odd numbers. How much have you won or lost over 100 rolls?

- You luck continues to improve, and you roll 74 odd numbers in you next 150 rolls. How much have you won or lost over your total of 250 rolls?

- How many odd numbers would you have to roll in the next 50 rolls to break even? Is this likely? Explain.

- What were the percentages of odd numbers after 50, 100, and 250 rolls? Explain how this illustrates the law of large numbers, even while your losses increased.