Suppose you are a game show contestant who has selected one of three doors after being told that two of them conceal nothing, but that a new red sports car is behind one of the three. Next, the host opens one of the doors you didn't select and shows that there is nothing behind it. He then offers you the choice of sticking with your first selection or switching to the other unopened door. Use the given ten simulations, where 0 and 1 represent no prize and 2 represents the sports car. Assume that you always choose door 1, and that the host will always show the lowest number door that does not have the sports car. Determine whether you should stick or switch. a. Based on the simulations, you should switch because the probability that you will win the sports car if you do is which is greater than 0.5. b. Based on the simulations, you should not switch because the probability that you will win the sports car if you do is which is less than 0.05. c. Based on the simulations, you should not switch because the probability that you will win the sports car if you do is which is less than 0.5.