A student is taking a multiple-choice exam in which each question has four choices A, B, C, and D. Assume that the student has no knowledge of the correct answers to any of the questions. She has decided on a strategy in which she will place four balls (marked A, B, C, and D) into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question. There are 15 multiple-choice questions on the exam. What is the probability that she will get all 15 questions correct? at least 10 questions correct? no questions correct?

A student is taking a multiple-choice exam in which each question has four choices A, B, C, and D. Assume that the student has no knowledge of the correct answers to any of the questions. She has decided on a strategy in which she will place four balls (marked A, B, C, and D) into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question. There are 15 multiple-choice questions on the exam. What is the probability that she will get all 15 questions correct? at least 10 questions correct? no questions 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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