Question

Given that sample space S = {1, 2, 3, 4, 6} which of the following is the sure event?

• A. {1, 2, 3, 4, 5, 6}
• B. {1, 2, 3, 4, 5}
• C. {1, 2, 3, 4, 6}
• D. {1, 2, 3, 5, 6}

Answer 1

The correct option is C

{1, 2, 3, 4, 6}

Sure event means, for any attempt of the experiment, the event will happen. An event is a subset of sample space S. It can be S itself and the null set $\varphi$ also.

A, B and D can't be the subset of S as there is an extra element 5 in these. C is same as sample space. If we conduct any experiment, the outcome will be one of the elements of sample space. It means for all the experiments, the event is sample space .