Question

If we throw a dice, then the sample space; S = 1, 2, 3, 4, 5, 6. Now the event of 3 appearing on the dice is simple & given by-
A. E = 2, 3
B. E = 1, 2, 3
C. E = 3
D. E = 1, 3

Answer 1

Hint: Hint:- We are given the sample space when a dice is thrown. Since it is only one dice, event of 3 can happen in only one way i.e when that number itself is thrown.

Complete step-by-step answer:
First, we will try to understand the definition of sample space & event.
In probability theory, an event is a set of outcomes of an experiment (a subset of the sample space) to which a probability is assigned.
Also, the sample space of an experiment or random trial is the set of all possible outcomes or results of that experiment. A sample space (S) is usually denoted using set notation. Now coming to the problem, it is given that a dice is rolled and the sample space is S = {1, 2, 3, 4, 5, 6}.
Now since the event of getting 3 can occur in only one way i.e when 3 itself shows up on the dice. We cannot have any other way as only one dice is rolled.
i.e The event of 3 appearing on the dice is simple & given by E = 3.

∴ E = 3 Correct option - C

Note: If there is only one element of the sample space in the set representing an event, then this event is called a simple or elementary event. In simple words, an elementary event is an event with a single outcome.