SOLUTION: Make a tree diagram to show all the possible sequences of answers for three multiple-choice questions, each with three possible responses. (Do this on paper. Your instructor may as
Algebra.Com
Question 757910: Make a tree diagram to show all the possible sequences of answers for three multiple-choice questions, each with three possible responses. (Do this on paper. Your instructor may ask you to turn in this work.)
(b) Probability extension: Assuming that you are guessing the answers so that all outcomes listed in the tree are equally likely, what is the probability that you will guess the one sequence that contains all three correct answers? (Use 5 decimal places.)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Make a tree diagram to show all the possible sequences of answers for three multiple-choice questions, each with three possible responses. (Do this on paper. Your instructor may ask you to turn in this work.)
(b) Probability extension: Assuming that you are guessing the answers so that all outcomes listed in the tree are equally likely, what is the probability that you will guess the one sequence that contains all three correct answers? (Use 5 decimal places.)
----
Tree:
Root column is the 1st question with elements "correct" and "wrong" : 2 elmts
----
1st Branch column is the 2nd question with "c" and "w" to the right
of each element in the Root column ; 4 elmts
----
2nd Branch column is the 3rd question with "c" and "w" to the right
of each element in the 1st Brance column. ; 8 elmts
----
Total # of branches: 2*2*2 = 8
P(each branch) = 1/8
--------
P(ccc) = 1/8
===============
Cheers,
Stan H.
===================
RELATED QUESTIONS
There are six multiple-choice questions on an exam, each with three possible answers.... (answered by stanbon,drk)
Draw a tree diagram showing all the possible sequences of responses for three true-fales... (answered by Fombitz)
If I have a multiple choice test with three possible answers for each of 10 questions,... (answered by MathLover1,Alan3354)
There are five multiple-choice questions on an exam, each with four possible answers.... (answered by reviewermath)
A test include the following components 8 true- false questions; five multiple-choice... (answered by stanbon)
A student is taking a multiple choice test with 3 questions, each of which has five... (answered by ikleyn)
There are six multiple choice questions in an examination. How many sequences of answers... (answered by ikleyn)
A test includes several multiple choice questions, each with five choices. suppose you... (answered by edjones)
On a multiple choice examination with three possible answers (out of which only one is... (answered by stanbon)