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.

First you have to define perimeters of Binomial distribution.

n - how many trials/questions do you have

p - probability guessing right answer to each question

x - how many successes do you expect.

Assuming the 6 questions are independent,

n=6 (questions)

p=probability of guessing the right answer (1/5)

x=exactly the number of successes over the 6 questions (2).

Look up the appendix table, or the Excel function to calculate the probability.