Question

You randomly guess the answers on a multiple choice test each question has three choices what is the probability that you will guess the correct answer

Answer 1

If the question is single answer correct then the answer is
`(1)/(3)` and if it's multiple options correct than the answer is
`(1)/(7)`

Explanation:

There is a little ambiguity in the question, that whether one answer is correct or multiple options are correct, but let;s deal with both the cases.

Probability =
`(TotalNo.OfFavourableOutcomes)/(TotalOfNoOfOutcomes)`

Probability when one option is right=
`(1)/(3)`

If this is a question , where multiple options are right then the total no. of cases for it will be = TTT, TFF, FTF, FFT, TTF, TFT, FTT (FFF is not a valid case, because the question has to have at least one valid answer.)

Probability when more than one option can be right=
`(1)/(7)`