(a) To win a teddy bear at a fair, a contestant needs to place four out of five shots on the bull's eye. Write down what success means for this experiment. What is the trial here? List the outcomes possible for one individual trial.

(b) You are composing a schedule for an event. It will open with a keynote speaker, followed by the main speaker, and conclude by a panel discussant. You have five experts to choose from. How many schedules can you come up with? Show your calculation. Explain why you chose your formula over the alternative(s).

(c) You are choosing from three apples (apples #1, #2, and #3) and one orange. You have to pick two with your eyes closed. List all the combinations that result in you ending up with two apples

(d) Find the total number of combinations for the problem in (c). Then find the probability to end up with two apples. Show work.