Simulate sign errors: constant probabilities

Let us simulate our math problems and sign errors.

Here, we will assume that the math problem has just 3 steps, and each step has the same probability of a sign switch. We will simulate the completion of the problem with:

a 0.10 probability of making a sign switch on each step.
a 0.45 probability of making a sign switch on each step.

Simulate 10000 iterations of completion of the 3 step math problem, with a 0.10 probability of a sign switch on each step.
Estimate the probability of arriving at the correct answer, by finding the proportion of the time that an even number of sign switches were made.
Repeat for a 0.45 probability of a sign switch on each step.
Estimate the probability of obtaining the correct answer for this second probability.

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Exercise

Simulate sign errors: constant probabilities

Instructions