Probability Experiments Problem Solving Sample Spaces Theoretical vs Experimental Compound Events Independent and Dependent Events

Experimental Probability

Experimental Probability (Cont.) Political PartyRespondents Democrat246 Republican175 Moderate43 Independent36 What is the probability that someone will vote for a Democrat? Is this the theoretical probability or experimental probability? Do you suspect the theoretical and experimental probability are similar?

Sample Spaces and Theoretical Probability Theoretical Probability is similar to experimental probability in that it is favorable/total for its formula. The difference is that rather than using data collected from an experiment or a survey, we use logic and reasoning to determine the probability. Example, you could flip a coin and get a result other than 5 heads and 5 tails, but theoretically, your next coin toss should be 50% heads and 50% tails.

Compound Events The probability of A and B occurring. P(A) * P(B). Remember, Probability is between 0 and 1 Example. What is the probability of flipping a coin head and rolling a 6 on a die Flipping a coin is.5 and rolling a die to get a 6 is.1666 Is the chance of doing both great then doing either? Less than doing either? How do we get to such a result?

Independent Events/Dependent Events