Question 1157339: Multiple-choice questions each have 4 possible answers, one of which is correct. Assume that you guess the answers to 3 such questions.
Use the multiplication rule to find the probability that the first two guesses are wrong and the third is correct. That is, find P(WWC), where C denotes a correct answer and W denotes a wrong answer.
What is the probability of getting exactly one correct answer when 3 guesses are made?
Answer by ikleyn(52817)   (Show Source):
You can put this solution on YOUR website! .
Multiple-choice questions each have 4 possible answers, one of which is correct.
Assume that you guess the answers to 3 such questions.
Use the multiplication rule to find the probability that the first two guesses are wrong and the third is correct.
That is, find P(WWC), where C denotes a correct answer and W denotes a wrong answer.
What is the probability of getting exactly one correct answer when 3 guesses are made?
~~~~~~~~~~~~~~~~~
Unfortunately, from the post, I do not understand PRECISELY your question.
As it presented in the post, I even do not understand, if you mean one or TWO different questions here.
The matter is that the first question (on getting WWC) differs from the second question.
If you mean TWO questions, it would be right to introduce numeration Q1 ans Q2, for clarity.
In any case, the answer to Q2 is THREE TIMES the value of my answer to Q1.
Probability to guess correctly in each of the 3 multiple-choice questions is  .
Probability to guess incorrectly in each of the 3 questions is  .
The probability to have the configuration WWC is  = 0.140625. ANSWER
Solved.
-----------------
For simple and simplest problems of Elementary Probability theory see the lessons
- Simple and simplest probability problems
- Solving probability problems using complementary probability
- Elementary Probability problems related to combinations
- A True/False test
- A multiple choice answers test
- Typical probability problems from the archive
- Experimental probability problems
in this site.
Also, you have this free of charge online textbook in ALGEBRA-II in this site
- ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic "Solved problems on Probability".
Save the link to this textbook together with its description
Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson
into your archive and use when it is needed.
Consider these lessons as your textbook, handbook, a Solutions Manual, tutorials and (free of charge) home teacher.
Happy learning (!)
|
|
|
