Question

A multiple choice test has 5 questions each with 5 possible answers. Find the probability of answering all the questions correctly.

I think it is 1/25. Am I correct?

Answer 1

prob(first question is correct) = 1/5
prob(first two questions are correct) = (1/5)(1/5) = 1/25
prob(first three questions are correct = (1/5)^3 = 1/125
...
prob(first 5 questions re correct) = ....

Answer 2

So... 1/3125?