What is the set of all possible outcomes of any experiment called? (a). event (b). random experiment (c). sample space (d). sample point
Hint: Recall the definitions of the terms event, random experiment, sample space, and sample point with respect to probability and see which one matches the given definition of possible outcomes of any experiment.
Complete step-by-step answer: Probability involves making predictions about things that may or may not happen. The probability of an event to occur is the ratio of the number of favorable outcomes to the total number of outcomes.
An experiment is a planned operation carried out under controlled conditions. An outcome is a result of an experiment. An event is a collection of outcomes.
A random experiment is an experiment that can be repeated numerous times under the same conditions. The outcome of an individual random experiment is independent and identically distributed.
A sample point is the most basic outcome of an experiment. It is one of the possible outcomes of the experiment. For example, when a coin is tossed, obtaining a head is a sample point.
The sample space of an experiment is the set of all possible outcomes. It is represented by the letter S. It can be expressed by listing all possible outcomes in the form of a Venn diagram or tree diagram.
Hence, the correct answer is option (c).
Note: You might get confused with sample point and sample space and you are likely to choose option (d), which is wrong. The sample point is just a single outcome while sample space is a collection of all outcomes.