Question

A test has multiple choice questions with 5 choices for each answer; only one answer is correct for each question.
Suppose a student guesses the answer to each question. Assuming the guesses are independent, find the probability
that the student will not guess correctly on any one question.
OO
1/5
4/5

Answer 1

Answer:

4/5

Step-by-step explanation:

Total number of choices for each question: 5

Number of incorrect choices for each question: 4

p(incorrect answer) = 4/5

Answer 2

Answer:

The probability that the student will not guess the answer correctly on any one question is 4/5 that is option 3 is correct.

Solution:

It is given that each question has five answers. Out of which one is correct and the remaining four are incorrect.

It is given that the guesses are independent of each other.

Therefore the each question has only two outcomes. Either the chosen option is the correct answer or it wrong.

We know that the probability of an entire even is always 1.

Therefore by this logic the probability of getting a correct answer is $\frac{1}{5}$

Now to calculate the probability of incorrect guess is:

$1 - \frac{1}{5} = \frac{4}{5}$

Hence the probability of not guessing correctly is $\frac{4}{5}$