I need the real answer to this problem.

Was asked this question online.

**If you choose an answer to this question at random what is the chance you will be correct?**

a) 25%

B) 50%

C) 60%

D) 25%

My answer was...

1. If A=D then the answer is 33%

2. If A does not =D (A and D are not similar objects like ingredients to a fruit salad) Then the answer is 25%

With both being possible here are my thoughts.

So what I did is I took 33% - 25% and got 8% and divided it evenly across all 4 answer and got 2% and added it to the 25% and got** 2****7**% as my answer.

I was told I was wrong. If I am wrong please explain how I am wrong.

Re: I need the real answer to this problem.

P[correct answer] = (1/4+1/4)(1/3) + (1/4)(1/3)+(1/4)(1/3) = 1/6 + 1/12 + 1/12 = 1/3 = 33.33..%

you have to assume that 25% is 25% and there is no distinction between the two occurences.

Re: I need the real answer to this problem.

I disagree with both of those answers.

IF the answer was 27% (or 33.33% for that matter) then you would be 100% incorrect if you chose an answer from those options.

Re: I need the real answer to this problem.

Quote:

Originally Posted by

**Skyrivers** **If you choose an answer to this question at random what is the chance you will be correct?**

a) 25% B) 50% C) 60% D) 25%

So what I did is I took 33% - 25% and got 8% and divided it evenly across all 4 answer and got 2% and added it to the 25% and got** 2****7**% as my answer. I was told I was wrong. If I am wrong please explain how I am wrong.

Suppose the question were:

$2+3=\;A)\;5\quad B)\;4\quad C)\;3\quad D)\;5$

Now ask, " **If a student randomly marks an answer, then what is the probability of its being correct?**"

**What would be your answer?**

Is there any difference this and the question you posted?

Re: I need the real answer to this problem.

Quote:

Originally Posted by

**Plato** Suppose the question were:

$2+3=\;A)\;5\quad B)\;4\quad C)\;3\quad D)\;5$

Now ask, " **If a student randomly marks an answer, then what is the probability of its being correct?**"

**What would be your answer?**

Is there any difference this and the question you posted?

The answer to Plato's question is 50% because 2 of the 4 answers are correct.

But the original question was "If you choose an answer to **THIS** question at random what is the chance you will be correct?

a) 25%

B) 50%

C) 60%

D) 25%"

THIS question is this question, not some other question. They are totally different.

Re: I need the real answer to this problem.

Quote:

Originally Posted by

**Debsta** But the original question was "If you choose an answer to **THIS** question at random what is the chance you will be correct?

a) 25%

B) 50%

C) 60%

D) 25%"

THIS question is this question, not some other question. They are totally different.

No they are not different. They are exactly the same question.

Like $5$ in the question I posed, $25\%$ serves the exact same role.

The question is "What is the probability that a randomly chosen response is correct?"

Here is the OP.

Quote:

Originally Posted by

**Skyrivers** **If you choose an answer to this question at random** what is the chance you will be correct?

a) 25% B) 50% C) 60% D) 25%

Now regardless of the distractors, if there are four different ones then then there is a $25\%$ chance of being correct if one is correct.

If as in this example (& mine) there are two correct options, then the correct answer to the question "What is the probability of a random correct answer?" is $50\%$.

In other words, this is a question about careful reading. You failed it.

This question has been given to several generations of hopeful editors.

I will admit that in this form there is a self-reference that I have never seen.

But that does not change the object of the question.

Re: I need the real answer to this problem.

But, if the answer is 50%, as you state, then the solution is B and the chance of a random correct answer is only 25%.

The self-reference makes the question ill-defined.

Re: I need the real answer to this problem.

Quote:

Originally Posted by

**Plato** No they are not different. They are exactly the same question.

Like $5$ in the question I posed, $25\%$ serves the exact same role.

The question is "What is the probability that a randomly chosen response is correct?"

Here is the OP.

Now regardless of the distractors, if there are four different ones then then there is a $25\%$ chance of being correct if one is correct.

If as in this example (& mine) there are two correct options, then the correct answer to the question "What is the probability of a random correct answer?" is $50\%$.

In other words, this is a question about careful reading. You failed it.

This question has been given to several generations of hopeful editors.

I will admit that in this form there is a self-reference that I have never seen.

But that does not change the object of the question.

No no, no.

Here's a question for you Plato (in *almost* your own words):

Suppose the question were:

2+4= A)5 B)4 C)3 D)5

Now ask, " If a student randomly marks an answer, then what is the probability of its being correct?"

What would be your answer?

Re: I need the real answer to this problem.

Quote:

Originally Posted by

**Plato** No they are not different. They are exactly the same question.

Like $5$ in the question I posed, $25\%$ serves the exact same role.

The question is "What is the probability that a randomly chosen response is correct?"

Here is the OP.

Now regardless of the distractors, if there are four different ones then then there is a $25\%$ chance of being correct if one is correct.

If as in this example (& mine) there are two correct options, then the correct answer to the question "What is the probability of a random correct answer?" is $50\%$.

In other words, this is a question about careful reading. You failed it.

This question has been given to several generations of hopeful editors.

I will admit that in this form there is a self-reference that I have never seen.

But that does not change the object of the question.

Also,

If 50% is the correct answer, ie B is the correct answer, the probability of choosing B (the correct answer according to Plato) is 25%, so 50% is incorrect.