On a multiple-choice test, each question has 4 possible answers. A student does not know answers to three questions, so the student guesses.

What is the probability that the student gets all three questions wrong?

42.1875% probability that the student gets all three questions wrong

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the student gets it wrong, or he does not. The probability of the student getting a question wrong is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probabily distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

On a multiple-choice test, each question has 4 possible answers.

One of these options is correct and the other 3 are wrong. We want to find the probability of getting questions wrong. So

Three question:

This means that

What is the probability that the student gets all three questions wrong?

This is P(X = 3).

42.1875% probability that the student gets all three questions wrong

yes

step-by-step explanation: