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Probability of Answering This Quiz Correctly

Using basic knowledge of probability, answer these questions about the chance of randomly answering them correctly.

A multiple-choice quiz by Fi B. Estimated time: 4 mins.

Author
Fi B

Time
4 mins

Type
Multiple Choice

Quiz #
139,777

Updated
Mar 27 24

# Qns
10

Difficulty
Average

Avg Score
7 / 10

Plays
8646

Last 3 plays: Guest 172 (1/10), batowers (8/10), Guest 107 (9/10).

One at a Time - Single Page - Timed Game

Question 1 of 10

1. If you had no idea what the answer to this four option multiple choice question was, and took a wild guess, what is the probability that you are correct? Hint

1/4

3/4

1/2

no chance

NEXT>

Question 2 of 10

2. If you had no idea what the answer to this multiple choice question was, and took a wild guess, what is the probability that you are wrong? Hint

3/4

1/2

1/4

no chance

NEXT>

Question 3 of 10

3. If you knew 2 of the answers to a multiple choice question were definitely incorrect, but randomly guessed between the other two, what is the probability that you are correct? Hint

3/4

no chance

1/4

1/2

NEXT>

Question 4 of 10

4. What is the probability of answering a multiple choice question correctly if you know that one of the answers is definitely wrong but you have to guess between the 3 remaining answers? Hint

1/4

1/3

3/4

no chance

5. If question 1 is true/false and you know you got it right, and question 2 is multiple choice with 4 possible answers, and you randomly guess the answer, what is the probability that you answer both question 1 and question 2 correctly? Hint

1/2

1/16

1/8

1/4

NEXT>

Question 6 of 10

6. If you randomly guessed the first two multiple choice questions in a quiz that had 4 choices for each question, what is the chance that you got them both wrong? Hint

1/2

9/16

1/4

3/4

NEXT>

Question 7 of 10

7. If you and a friend both randomly guessed the answer to the same multiple choice question on Funtrivia, what is the probability that you both answered it correctly (there are 4 choices for a multiple choice question on Funtrivia)? Hint

1/2

1/8

1/16

1/4

NEXT>

Question 8 of 10

8. If you and two friends all randomly answered a multiple choice question that had 4 choices, what is the chance that your two friends both got it right and you got it wrong? Hint

1/64

3/16

3/64

1/16

NEXT>

Question 9 of 10

9. If you and a friend randomly answered a multiple choice question that had 4 choices, what is the probability that you were correct and your friend was incorrect? Hint

3/16

1/4

1/16

1/8

NEXT>

Question 10 of 10

10. What is the probability of answering 10/10 on any ten question multiple choice quiz if you answered each question randomly? Hint

1/524288

1/4

1/40

1/1048576

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Most Recent Scores

Dec 18 2024 : Guest 172: 1/10
Dec 11 2024 : batowers: 8/10
Nov 22 2024 : Guest 107: 9/10
Nov 10 2024 : Guest 172: 3/10
Nov 04 2024 : Guest 216: 4/10
Nov 01 2024 : Guest 93: 4/10
Oct 29 2024 : Guest 124: 9/10
Oct 29 2024 : Guest 158: 5/10
Oct 27 2024 : Guest 115: 4/10

Score Distribution

Quiz Answer Key and Fun Facts

1. If you had no idea what the answer to this four option multiple choice question was, and took a wild guess, what is the probability that you are correct?

Answer: 1/4

That is because there are four possible answers, and your chance is 1 in 4 because there is only 1 correct answer.

2. If you had no idea what the answer to this multiple choice question was, and took a wild guess, what is the probability that you are wrong?

Answer: 3/4

This is because of the four potential answers, 3 are wrong. Therefore you have a 3 in 4 chance of answering incorrectly.

3. If you knew 2 of the answers to a multiple choice question were definitely incorrect, but randomly guessed between the other two, what is the probability that you are correct?

Answer: 1/2

There are four answers to begin with, two of which you have dismissed as being incorrect. Therefore there are only two potential answers that you have left for that question. Therefore you have a 1 in 2 chance of randomly answering it correctly.

4. What is the probability of answering a multiple choice question correctly if you know that one of the answers is definitely wrong but you have to guess between the 3 remaining answers?

Answer: 1/3

Multiple choice questions have four possible answers, one of which you have dismissed as incorrect. Therefore you are left with three remaining choices, therefore you have a 1 in 3 chance of getting it right.

Answer: 1/4

The probability of getting the first one correct is 1/1 because you knew your answer was correct (and didn't guess). The probability of getting the second one right is 1/4 because there are four possible answers in a multiple choice question. Therefore, 1 x 1/4 gives an answer of 1/4.

6. If you randomly guessed the first two multiple choice questions in a quiz that had 4 choices for each question, what is the chance that you got them both wrong?

Answer: 9/16

There are four answers to pick from for multiple choice questions: one is right and three are wrong. Therefore getting the first one wrong has a probability of 3/4, and 3/4 is also the probability you got the second one wrong. By multiplying 3/4 by 3/4, the answer is 9/16.

Answer: 1/16

Multiple choice questions have four answers to choose from. The chance of you answering correctly is 1/4 and the possibility of your friend answering correctly is also 1/4. Using the product rule of probability, you multiply 1/4 by 1/4 and the chance of you both getting it right is then 1/16.

8. If you and two friends all randomly answered a multiple choice question that had 4 choices, what is the chance that your two friends both got it right and you got it wrong?

Answer: 3/64

There are 4 possible answers for a multiple choice question. The chance that each of your friends answered correctly is 1 in 4 and the chance that you answered incorrectly is 3 in 4 (because there are three incorrect answers and one correct one). Therefore the answer is 1/4 x 1/4 x 3/4 = 3/64.

9. If you and a friend randomly answered a multiple choice question that had 4 choices, what is the probability that you were correct and your friend was incorrect?

Answer: 3/16

There are 4 answers to choose from. The chance of you answering the multiple choice question correctly is 1/4 and your friend's chance of getting their question incorrect is 3/4. Multiply 1/4 by 3/4 = 3/16.

10. What is the probability of answering 10/10 on any ten question multiple choice quiz if you answered each question randomly?

Answer: 1/1048576

The quiz consists of 10 multiple choice questions (which each have 4 answers to choose from). The chance of randomly answering a multiple choice question correctly is 1/4. Using the product rule again, we put (1/4) to the power of 10. This gives us a final answer of 1 in 1048576.

Source: Author Fi B

This quiz was reviewed by FunTrivia editor crisw before going online.
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