I really need an answer to this question as soon as possible.

I have ten questions. There are two multiple choice answers to each question. What are the chances of answering all questions correctly.

* I also need the same scenerio done with three multiple choice answers.

Thank you in advance,
Cintra

Hi Cintra

The answer of course depends on how well the test taker knows the material. If she is well prepared then there is a reasonably high probability that she will answer all the questions correctly. If she is just guessing on each question then it is quite unlikely that she will get them all correct.
   If she is guessing and there are two possible answers for each question then, for each question, the probability that she gets it correct is 1/2. To get all the answers correct she must do this ten times in succession. If these are also guesses then the probability that she gets them all correct is 1/2x1/2x...x1/2 = (1/2)¹⁰.

Cheers
Harley