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Chapter 5: Problem 14

Consider a multiple-choice test with a total of four possible options for each question. a. What is the probability of guessing correctly on one question? (Assume that there are three incorrect options and one correct option.) b. What is the probability that a guess on one question will be incorrect?

Short Answer

Expert verified
a. The probability of guessing correctly on one question is \(\frac{1}{4}\) . b. The probability of guessing incorrectly on one question is \(\frac{3}{4}\).

Step by step solution

01

Calculate the Probability of a Correct Guess

In this case, there is one desired outcome (guessing correctly) and four possible outcomes (all possible answers). The probability can therefore be calculated as \(\frac{1}{4}\).
02

Calculate the Probability of an Incorrect Guess

Here, there are three desired outcomes (guessing incorrectly) and four possible outcomes (all answer options). The probability can therefore be calculated as \(\frac{3}{4}\).

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