Simulate sign errors: changing probabilities

In the previous exercise, each simulation had a fixed probability of a sign error at each step.

In the original question as posed, the probability of a sign error can be different at each step; the only requirement is that each probability is less than 0.50.

Here, let us simulate a math problem with 2 steps in which the probability of a switch on each step is 0.49 and 0.01, meaning that there is a high probability of becoming incorrect on the first step and a low probability of switching back.

Diese Übung ist Teil des Kurses

Probability Puzzles in R

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Anleitung zur Übung

Use the sapply function with the rbinom function to simulate the switches within one problem, with switch probabilities of 0.49 and 0.01 for the first and second steps, respectively.
Determine the total number of switches that occurred.
Determine whether the answer to the math problem would be correct or not.

Interaktive Übung

Vervollständige den Beispielcode, um diese Übung erfolgreich abzuschließen.

set.seed(1)
counter <- 0

for(i in 1:10000){
  # Simulate switches
  each_switch <- sapply(___)
  # Count switches
  num_switches <- 
  # Check solution
  if(___){
    counter <- counter + 1
  }
}

print(counter/10000)

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