I have a math question!?

Question

Ok here is the question,
You take a three question true or false quiz.You guess on all the questions what is the probability that you will get a perfect score?
Is it
A.1/8 B. 1/18 C. 3/56 D.13/756

Thanks

Also if you could tell me how you solved it that would be great!

Thanks,it really helped!

Answer 1

if it is a true or false question, you have a 50/50 chance of answering it correctly, or 1/2 chance. since you have 3 questions you have a 1/2 chance for the first, 1/2 for the second, 1/2 for the third. you multiply each chance together(1/2)(1/2)(1/2) and you get A.(1/8)

Answer 2

It is a 1/8 chance. What you need to do is make a list of all of the possible combinations there are for the test. It would look something like this:

1.True, True, True
2. False, True, True
3. True, False, True
4. True, True, False
5. False, True, False
6. False, False, True
7. True, False, False
8. False, False, False

One of these eight possible combinations is going to give you 100% so the probability is 1/8! I hope you understand!

Ms. B (6th Grade Math Teacher)

Answer 3

The answer is 1/8.
The p of either T or F is 1/2
The p of getting three correct answers out of three is the combined p of 1/2 x 1/2 x 1/2 = 1/8

Answer 4

1/18 chance...its easy to solve 3*2=6 6*3=18

Answer 5

You must show all the ways that it would work, like this:

true true true
false false false
true false false
true true false
false true true
false false true
false true false
true false true

Since 1 out of the 8 ways to do it allows all true, then letter A. is the answer.

Answer 6

50-50 chance, 1/2 * 1/2 * 1/2 = 1/8

A. 1/8

Answer 7

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