Your really mean math teacher, Mrs Snampook, gives you a pop quiz with 12 extremely difficult questions. They are multiple choice with 4 options for each question. You have no idea how to do the problems, so you must guess randomly.  What is the probability that you will pass this test (get at least 6 answers correct)?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Your really mean math teacher, Mrs Snampook, gives you a pop quiz with 12 extremely difficult questions. They are multiple choice with 4 options for each question. You have no idea how to do the problems, so you must guess randomly.

 What is the probability that you will pass this test (get at least 6 answers correct)?

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