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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.

This exercise is part of the course

Probability Puzzles in R

View Course

Hands-on interactive exercise

Have a go at this exercise by completing this sample code.

set.seed(1)
doors <- c(1,2,3)

# Randomly select one of the doors to have the prize
 prize <- sample(x = ___, size = ___)
 initial_choice <- 1

# Check if the initial choice equals the prize
 if(___){
  print("The initial choice was correct!")
 }

print(prize)
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