Question

A quiz consists of multiple choice questions. each question has 4 possible answers (a-d) and only one answer is correct. if the student guesses the answer to each question, then what is the probability that the student answer correctly for that question?

Answer 1

`\displaystyle(1)/(4)`

Step-by-step explanation:

The probability of an event to occur is defined as the ratio of the number of ways the event may actually occur over the whole number of possible outcomes.

In math notation:

`P=\displaystyle\frac{\text{Number of ways the event may happen}}{\text{Total number of outcomes}}`

Here the event is answering correctly. So, the number of ways that event may happen is just 1, since there is only one single correct answer. And the whole number of possible outcomes is 4, since the student may pick four possible answers (a - d).

Therefore, the probability that the student answer correctly for that question is:

`P=\displaystyle(1)/(4)`