Question

A coin is tossed. Find the total number of elementary events and also the total number events associated with the random experiment.

 

Answer 1

In tossing a fair coin, there are two possible outcomes, namely Head (H) and Tail (T).
Hence, the sample space in this experiment is given by S = {H, T}.
Thus, total number of elementary events = 2
In all, there are four subsets of S: {H}, {T}, {H, T} and Φ.
Each of the subsets of the sample space is an event.
∴ There are 4 total events associated with the random experiment.

Note: If there are n elements in a set, then the number of its subset is 2ⁿ.