Question

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. 100%

Answer 1

Probability of an event to occur in an experiment is equal to the ratio of the outcomes in which this event happens to the total number of outcomes of the experiment. In other words, it is equal to the ratio of favourable outcomes to the total number of outcomes.

Complete step by step answer:
Let us first understand what is meant by the change of the answer being correct. Other than chance the more appropriate word to use is probability. The term probability of an event happening tells us about the extent or how many times it is likely to happen in a given number of tries.

For example, if we throw a dice of six faces, then the probability of a number to come on the top of the dice tells us about the extent to which that is likely to occur.Probability of an event to occur in an experiment is equal to the ratio of the outcomes in which this event happens to the total number of outcomes of the experiment.

For the given question, there are four options. Let us assume that only one option is correct among all four. To answer the question, we have to choose any one among the four at random. Therefore, the total outcomes of this experiment are 4. Out of these 4 outcomes, we can find the correct answer in only 1 outcome.

Therefore, the probability of choosing a correct answer for the question is $\dfrac{1}{4}=0.25$. Now, if we want to express the probability in terms of percent then we have to multiply the above number by 100.Then, this means that the chance for the answer being correct is 25%.

Hence, the correct option is A.

Note: Note that we have assumed that is the only option correct among the four, in this question. If they had multiple options correct and we had to choose only one then the number of total outcomes would be the same but the number of favourable outcomes would increase.
-If 2 options are correct, then the favourable outcomes are 2.
-If 3 options are correct, then the favourable outcomes are 3.
-If 4 options are correct, then the favourable outcomes are 4.