You took a 5-question multiple choice quiz with 4 choices for each question. If you guess at random on each question, what is the probability that you get at least one question correct?

The easiest way to do this is use a binomial probability function table. You will need to determine n, x, and p. I'll give you a hint: x = 0. Once you determine P(0), then subtract the probability you find in the table from 1. That value will be your answer.

To find the probability of getting at least one question correct when guessing at random, we need to consider the complement (the opposite) of the event of getting none of the questions correct.

Let's try to find the probability of getting all questions incorrect. Since there are 4 choices for each of the 5 questions, the probability of guessing incorrectly on a single question is 3/4 (since there is only 1 correct choice out of 4 options).

To find the probability of guessing incorrectly on all 5 questions, we need to multiply the probabilities for each question together since these are independent events (the outcome of one question does not affect the outcome of another). So, the probability of getting all questions incorrect is (3/4)^5.

Now, we can find the complement of this probability by subtracting it from 1. So, the probability of getting at least one question correct is 1 - (3/4)^5.

Simplifying this equation, we get:

1 - (3/4)^5 ≈ 0.7627

Therefore, the probability of getting at least one question correct when guessing at random is approximately 0.7627 or 76.27%.