2. Example Suppose we roll a die and flip a coin. How many possible outcomes are there? Give the sample space. A and B are defined as: A={Die is a 5 or 6} B={Coin is T} Find the following probabilities: Are A and B mutually exclusive? Are A and B independent?

3. Example Events are defined as: A={Female} B={Democrat} Find the following probabilities: Are A and B mutually exclusive? Are A and B independent?

4. Example Suppose a box contains 3 red, 2 white, and 5 blue marbles. Find the following: If you draw three marbles with replacement, what is the probability that all three are blue? If you draw three marbles without replacement, what is the probability that all three are blue? If you draw three marbles without replacement, what is the probability that at least one of the marbles are not blue?