Thread: finding possibilities when guessing answers

Multiple choice questions each have 5 possible answers, one is correct. Assume that you guess the answers to 3 such questions. Using multiplication rule to find the probability that the first 2 guesses are wrong and the 3rd is correct. Find, P(WWC), where C is correct and W is wrong.
This is a homework question that I am stumped on. If someone could at least send me in the right direction, I would be very grateful.

Well if one out of 5 answers is correct, the odds of randomly guessing the correct answer are and the odds of randomly guessing an incorrect answer are

So use multiplication, the first two must be wrong so

But now we must multiply by something else because the third answer must be correct... you should be good from here