SOLUTION: What is the probability? You are given a multiple choice test consisting of 10 questions. Each question has 4 choices. If you guess at all of the answers, what is the probabilit

Question 292711: What is the probability? You are given a multiple choice test consisting of 10 questions. Each question has 4 choices. If you guess at all of the answers, what is the probability that you will choose the incorrect answer for each question?

Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
The probability of getting a wrong answer on any particular question is 3/4. Since incorrectly anwering any question is independent of the others we can use the formula that says the probablity of two (or more) events, A and B is equal to the probability of A times the probability of B ( that is, P(A and B) = P(A) * P(B) ). In this case we have:
Probability for ten wrong answers is (3/4)*(3/4)*...*(3/4) for ten factors or equivalently (3/4)^10.
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