Question 607305
You're are taking a multiple choice test that has five questions. Each of the questions has 3 answer choices, with 1 correct answer per question. If you guess for each one and leave nothing blank, 

a) in how many ways can you answer the questions?
Ans: 3^5 = 243 ways
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b) What is the probability that all of your answers will be INcorrect?
P(incorrect) = 2/3
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P(all 5 are incorrect) = (2/3)^5 = 32/243
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Cheers,
Stan H.