A friend and I could toss a coin to decide who gets the extra snickers candy bar at a party. We could determine the probability of the outcomes experimentally and theoretically. It is possible to find the experimental and theoretical probabilities of any situation. The reason is because the experimental probability is found by basing the probability of each possible outcome on results found through experimenting, and no matter the situation this can be done. The theoretical probability can be found by looking at what chance each possible outcome has in a situation; this can also be done in any situation, as long as there isn't anything that could change the probability, such as weather.
2. Describe a situation in which it is difficult or impossible to find the theoretical probabilities of the outcomes.
A girl has to decide what car to take to school. 1-her family car, which is can be very warm. 2-the bus, which doesn't have a heating system. 3- her friends convertible thats hood can't close. It is hard to find a theoretical probability in this situation, because what car she takes could depend on the weather. For example, the bus would be cold in winter; this would therefore be a bad choice in the winter.
3. Describe some of the strategies for determining the theoretical probabilities for situations in this Unit. Give an example of a situation for each of the strategies.
A way to find the theoretical probability could be by making a tree diagram. In a situation where you have to pull a marble out of a two bags, and there is a blue, a red, and a pink marble in each bag. For a tree diagram, you would put each color at the beginning of three trees. You would then put each color on branches to each of those trees. Going across the trees you can find all the possible outcomes, or sample space.
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