Astudent guesses on every question of a multiple-choice test that has 6 questions, each with 3 possible answers. what is the probability that the student will get at least 4 of the questions right?

The probability that the student will get at least 4 of the questions right is 0.0823044.

Step-by-step explanation:

For each question we have 3 choices. So,total choices will be :

Getting 4 correct means, 4 corrects and two wrongs

Now, as there are 3 answer choices, out of which only one will be correct, so 2/3 is the probability if a question is answered wrong.

And 1/3 is the probability if a question is answered correctly.

Hence, we can consider this probability :

= 4/729

=> P = 0.00548696

We can select any combination of 2 from 6 for being wrong, so we will multiply P by (6,2)=6!/(2!*4!) = 15

So the answer is P*15 =

The probability that the student will get at least 4 of the questions right is 0.0823044.