Investigation 2 Reflection

1a. I personally use a tree diagram, which shows all the combinations and their relative probability in a series of branches and logic nodes. By multiplying together the fractions that follow a set of branches leading to a certain outcome, you get the theoretical probability of that outcome occurring.
1b.You have never tested to probability, so you can't say it's true probability. It's only a theory, since you haven't tried.
2a. Maybe yes, probably no. The theoretical best sample size in infinity, but they both obviously have not played the game an infinite number of times. If the sample size is not infinity, the experimental probability has a chance of being inaccurate- so no, they might not be.
2b. If they calculate properly, yes. Theoretical probability is just a theory, so you don't have to try an infinite number of times. This makes correctly calculating the probability possible.
2c. Ignoring the fact that the result might contaminated with human error, and the fact that someone might have magic powers and might just experiment an infinite number of times, maybe the will be the same, maybe not. The theoretical probability is accurate, but maybe the experimental probability isn't because of the inability to create the perfect sample size. It the two people are lucky, they might be the same. MIGHT.
3. That either sides desirable outcome has an equal chance of occurring.
4. A sample space is a table that shows all combinations possible between two event, thereby creating a fraction of outcomes to total squares.