# Multiplication Rule and Independent Events

I really need you to show me how you get to the correct answer.

Okay here goes: A statistics professor gives a surprise quiz consisting of 14 true/false questions and states that passing requires 9 correct responses. If the student guesses find the probability that the first 9 responses are correct and the last 5 responses are wrong. Round to 4 decimal points.

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#### Solution Preview

For each true/false question, a random guess has 1/2 chance to be correct. In this problem, all the 14 questions are independent. Now a student starts ...

#### Solution Summary

This solution contains step-by-step calculations and explanations to determine the probability that the first 9 responses are correct and the last 5 responses are wrong.

$2.19