Question

Any subset of sample space is called
(a) event
(b) probability
(c) outcome
(d) experiment

Answer 1

Hint: First, we will understand the definition of each, and every option given and then we will see which option matches with the given data in question. That will be our final answer.

Complete step-by-step answer:
Here, we will first understand all the meaning of the options given.
Taking option (a): In probability, the set of outcomes from an experiment is known as Event. For example, if we conduct an experiment by tossing a coin, then there are 2 possible outcomes i.e. heads and tails. So, these can be said to be events connected with the experiment.
Taking option (b): Probability means possibility. It deals with the occurrence of a random event. For example, if we say what are the possibilities of getting heads in tossing 1 coin. So, we know that in coin tossing outcomes are either tails or heads. So, probability will be $\dfrac{1}{2}$ .
Taking option (c): An outcome is a possible result of an experiment or trial. Each possible outcome of a particular experiment is unique i.e. only one outcome will occur on each trail of the experiment. All of the possible outcomes of an experiment from the elements of sample space.
Taking option (d): An experiment is any procedure that can be infinitely repeated and has a well-defined set of possible outcomes, known as sample space.
We are asked to find any subset of sample space called what. So, we know that the set of all the possible outcomes is called sample space of the experiment. Any subset of the sample space is known as an event. For example: tossing a coin. Sample space will be $S=\left\{ heads,tails \right\}$ . But heads and tails are known ad events occurring while tossing a coin.
Thus, option (a) is the correct answer.

Note: Be careful about what is asked in question. All the terms are having minor differences in definition terms. So, do not mix it up and select the wrong answer. So, remember all the definitions regarding this type of questions.