A student takes a quiz that consists of three true false questions. If we consider about experiment to be answering the three questions, each question can be answered correctly or incorrectly. Let ‘C’ denotes answering question correctly and ‘I’ denotes answering question incorrectly. Draw a tree diagram of the sample space outcomes for the experiment. Suppose that the student was totally unprepared for the quiz and had to blindly guess the answers to each question. That is, the student had a 50 – 50 chance (or .5 probability) of correctly answering each question. Draw the tree diagram and sample space outcome consisting of showing all possibleoutcomes.  What is the probability that the student will get three questions correct.  What is the probability that the student will get exactly two questions correct. What is the probability that the student will get exactly one question correct.  What is the probability that the student will get all three questions incorrect.  What is the probability that the student will get at-least two questions correct.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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A student takes a quiz that consists of three true false questions. If we consider about experiment to be answering the three questions, each question can be answered correctly or incorrectly. Let ‘C’ denotes answering question correctly and ‘I’ denotes answering question incorrectly. Draw a tree diagram of the sample space outcomes for the experiment. Suppose that the student was totally unprepared for the quiz and had to blindly guess the answers to each question. That is, the student had a 50 – 50 chance (or .5 probability) of correctly answering each question.
Draw the tree diagram and sample space outcome consisting of showing all possibleoutcomes. 
What is the probability that the student will get three questions correct. 
What is the probability that the student will get exactly two questions correct.
What is the probability that the student will get exactly one question correct. 
What is the probability that the student will get all three questions incorrect. 
What is the probability that the student will get at-least two questions correct.

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