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
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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?
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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