You can find the theoretical probability by calculating what the P(___) is (the chance for each outcome), and compare it to the rest of the possibilities. It is called the theoretical probability because you are making a theory about each outcomes chance of winning, based on each outcomes probability.
2. a.Suppose two people do an experiment to estimate the probability of an outcome. Will they get the same probabilities? Explain.
It is possible, but they will not necessarily get the same results. The reason being that experimental probabilities will not always be the same result (all a matter of chance).
b.Two people analyze a situation to find the theoretical probability of an outcome. Will they get the same probabilities? Explain.
Yes, because the theoretical probability is calculated by finding the percent of chance for each possible outcome (P(___)); rather than by experimenting.
c.One person uses an experiment to estimate the probability of an outcome. Another person analyzes the situation to find the theoretical probability of an outcome. Will they get the same probability? Explain.
It is possible, because the theoretical probability is an estimate of what the results will be. However, experimental probability is based on chance, and could be similar to, same as, or very different to the theoretical probability.
3. What does it mean for a game to be fair?
A game to be fair means that each player has an equal chance of winning.
4. What is a sample space, and how can it be represented?
A sample space is the set for all the possible outcomes of an event. It can be represented in a list (like the following picture.)
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