| Question 1:
| If you had no idea
what the answer to this 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. |
|
 Question 2:
| If you had no idea what
the answer to this 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. |
|
Question 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. |
|
Question 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. |
|
Question 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? |
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. |
|
Question 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. |
|
Question 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)? |
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. |
|
Question 8:
| If you and two
friends all randomly answered a mulitple 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
incoreectly 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. |
|
Question 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. |
|
Question 10:
| What is the probability
of answering 10/10 on this quiz if you answered each question randomly? |
Answer
1/1048576
| This 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. |
|
