Question

In an experiment with n different outcomes, each of them equally - likely, what is the probability of each event?

• A. n
• B. $\frac{1}{n}$
• C. $\frac{1}{n^2}$
• D. Proportional to $\frac{1}{n^2}or\frac{k}{n^2}$

Answer 1

The correct option is B $\frac{1}{n}$

(1)In an equally likely event, all the out comes have same probability (2)The probability of all the outcomes added or probability of sample space is one. Let's assume there are n chocolates in the box. We are given the $\frac{chance}{probability}$ of all the chocolates (or brands) are same (equally - likely).
Let's take that common probability as p. Now, if we add the probability of all the chocolates, we should get 1. $\Rightarrow np=1\Rightarrow p=\frac{1}{n}=1$