Exercise

Win probability with "stick"

Let's write some code to simulate the Monty Hall game show. In this exercise, we will have the contestant choose Door #1, "stick" every time, and find the relative frequency of winning after 10000 iterations of the game.

First, we will code just one iteration. Then, we will incorporate this into a for loop to run the process repeatedly in order to obtain a simulated estimate of the true win probability, using the idea of a counter we discussed previously.

Instructions 1/2

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Use the sample function to select one of the doors to have the prize.
Check whether the door with the prize matches the door chosen.