Question

A multiple choice question has 18 possible​ answers, only one of which is correct. Is it​ "significant" to answer a question correctly if a random guess is​ made? Consider an event to be​ "significant" if its probability is less than or equal to 0.05.

Answer 1

It is not ''significant''

Explanation:

Let's call the event

A : ''Answer a question correctly if a random guess is made''

Now we calculate the probability for the event A

`P(A)=(cases where A occurs)/(total cases)`

In the exercise A occurs in only one way and the total cases are the number of possible answers

`Total cases = 18`

`P(A)=(1)/(18) =0.0555555`

An event B is ''significant'' if
`P(B)\leq 0.05`

`P(A)=0.0555555`

⇒A it is not a ''significant'' event