Find the probability of correctly answering th first 4 questions on a multiple choice test if random guesses are made and each question has 5 possible answers

Question

Statistics 

Answer 1

Getting any question right or wrong on this test is independent of doing so on any other question on this test (i.e., getting question one right, in an informed fashion or by guessing has nothing to do with getting question 2, 3, or 4 right. 

 

Since, in each case, there is only one right answer out of 5 possibilities the probability is the product of each of the individual probabilities. 

(1/5)(1/5)(1/5)(1/5) = 1/625 one chance in 625 chances.