Question

1. you take a three - question true or false quiz. you guess on all the questions. what is the probability that you will get a perfect score?

Explanation:

Step1: Determine the probability of guessing one question correctly

Since each question has 2 options (true or false), the probability of guessing one question correctly is \( p=\frac{1}{2} \).

Step2: Use the multiplication rule for independent events

For three - question quiz, and the events (guessing each question) are independent. The probability of getting all three questions correct is \( P = p\times p\times p\).
Substitute \( p = \frac{1}{2}\) into the formula: \(P=\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\)

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Answer:

\(\frac{1}{8}\)