Sample space formulaSample space refers to all possible outcomes of an experiment. It is denoted by S. A sample space may have number of possible outcomes. The number of outcomes depends upon the experiment. If a sample space has the finite number of outcomes, it is called as the discrete or finite sample space. For random experiments, the sample space is written within "{}" curly braces. Here, we are defining some events with all possible outcomes or sample space.
The elements of a sample space may be letters, words, numbers, symbols, etc. A sample space can be finite, countably infinite, or uncountably infinite. There is a difference between a sample space and an event. Let's see a brief description of an event. Event: The subset of sample space is called an event. Event is generally denoted by the letter 'E'. We can understand the difference between the event and a sample space by the below example  Suppose a dice is thrown, so the sample space (S) for this dice is = {1, 2, 3, 4, 5, 6} but the event can be {1, 3, 5} representing the set of odd numbers, and {2, 4, 6} representing the set of even numbers. Now, let's solve some questions of finding out the sample space. Ques  1) What will be the sample space of the interval [3, 9]? Ans  1) The sample space (S) for the given interval is = {3, 4, 5, 6, 7, 8, 9} Ques  2) What will be sample space when two dice are thrown together? Ans  2) On rolling two dice together, we will get 36 outcomes. So the possible sample space will be  S = {(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6) (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6) (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6) (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)}
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