Question

How would I solve these kind of problems?? Please Help.... Solve by simulating the problem.

You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the answers. What is the experimental probability that you will guess exactly three out of five questions correctly?

Answer 1

Hello, Yana!
It's important that you identify what kind of probability you have here. Is this normal probability? binomial? uniform probability?
What is the probability of "success" in guessing just one of the answers?

Answer 2

Umm....I really don't know...I'm thinking uniform probability??

Answer 3

@mathmale ??

Answer 4

Sorry...I'm on a phone call after a long wait.

I believe stronglyl that this problem is one of binomial probability. Before we discuss it further, could you please look up binomial probability and get the gist of what it's alla bout?

Answer 5

It's fine.. Ok yea..I kind of got it.

Answer 6

Yana, I have to admit to not being certain which approach to use here.
I do see that there are four answer choices per question. If the person taking the test doesn't know anything (!), his/her chances of choosing the correct answer are one in four (1/4).

since every question is independent of every other question, the probability that THREE guessed answers are correct is (1/4)(1/4)(1/4).

At least, that's my interpretation, based on the info we were given.

Answer 7

the probability of guessing all 5 answers correctly would be (1/4)^5 (small!).

Answer 8

Alright!!!!Thank you so much for explainig that for me!!!!!:) Your the best!!!