# Math Help - finding possibilities when guessing answers

1. ## 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.

2. Well if one out of 5 answers is correct, the odds of randomly guessing the correct answer are $\frac{1}{5}$ and the odds of randomly guessing an incorrect answer are $1-\frac{1}{5}=\frac
{4}{5}$

So use multiplication, the first two must be wrong so $\frac{4}{5}*\frac{4}{5}=\frac{16}{25}$

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