What’s the probability that the student selects the correct answer on all of the questions?

Question

Each question of a 5 question multiple choice exam has 4 possible answers. Suppose a student picks an answer at random for each question.

Answer 1

There are 4 possible answers on each question. There is only one correct answer on each one.

The probability of getting a correct answer is 1/4 or 0.25.

Since there are 5 questions, then the probability of getting a correct answer on all 5 questions is (1/4)⁵ = 1/1024 = 0.0009766.