8. You go to your refrigerator to find something to eat and see three types of leftovers from meals earlier in the week. One of the meals made you sick the last time you ate it but you do not remember which one. You pick one at random and hope for the best. A moment later your roommate comes in and grabs one of the two remaining dishes and indicates that the dish he/she chose was one of the dishes that were okay to eat. At this point, should you stay with your original food choice or switch? Why?

Imagine a Monty Hall situation with four doors instead of three (there is still only one correct door). After selecting door number one, you are shown that door number two is incorrect. Should you stay with door number one or switch to one of the remaining doors? What are your chances of choosing the right door if you stay with your original door? What are your chances of choosing correctly if you switch?

7. What is the probability of a coin landing heads up on the next coin toss, assuming you had just seen three consecutive coin tosses in which the coin landed heads up?

For this demonstration, did you try to maximize your wins or maximize your losses? What strategy did you use to accomplish your goal?

4) What is the probability of a coin landing heads up in a fair coin toss? What is the probability of a randomly selected day of the week starting with the letter S?

5) What is the joint probability of rolling a four on a six-sided die and correctly guessing a randomly picked number as being odd or even?