The question on a multiple choice test each have 4 answer choices. Describe a model that you could use to simulate the outcome of guessing the correct answers to a 50 question test?

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1. A

2. D
3. B
4. D
5. C
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The question on a multiple choice test each have 3 answer choices. Describe a model that could use to simulate the outcome of guessing the answer to 25 question test

To simulate the outcome of guessing the correct answers on a 50 question test, you can use a simple model known as the Monte Carlo simulation. This model involves repeatedly running a simulation to estimate the probability of different outcomes.

Here's a step-by-step explanation of how you can use the Monte Carlo simulation for this scenario:

1. Define the variables: In this case, you have 50 questions, each with 4 answer choices (A, B, C, D), and you're simulating guessing the correct answer.

2. Set up the simulation: Determine the number of trials or simulations you want to run. For example, you can set it to 10,000 trials to get a reliable estimate of the outcome.

3. Repeat the following steps for each trial:
a. Generate a random guess for each question. Since there are 4 answer choices, you can assign a number (0, 1, 2, or 3) to each answer choice and randomly generate a number for each question.
b. Check if the guessed answer is correct by comparing it to the true answer. If the guessed answer matches the true answer, count it as a correct guess for that question.
c. Repeat steps a and b for all 50 questions.

4. After completing all the trials, calculate the success rate or the percentage of correct guesses. Divide the total number of correct guesses by the total number of trials and multiply by 100 to get the percentage.

By running this simulation, you will get an estimate of the probability of guessing the correct answers on the 50 question test. Remember that this model assumes a completely random guessing strategy, and the actual results may differ.

it's binary ... correct or incorrect

P(correct) = 1/4
... P(incorrect) = 3/4

(c + i)^50

.25^50 + 50 .25^49 .75^1
+ 1225 .25^48 .75^2 ...
+ 1225 .25^2 .75^48 + 50 .25 .75^49
+ .75^50

this is the expected outcomes

for a simulation you could roll a 4-sided die (tetrahedron)
or flip 2 coins
anything with 4 random outcomes