Sample Space Mathematics

The sample space is the set of all possible outcomes for example for the die it is the set 1 2 3 4 5 6 and for the resistance problem it is the set of all possible measured resistances. This is no coincidence. In this lesson we explore what is sample space how it is related to probability and the formula to use to find it when given probability problems.

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All the possible outcomes of an experiment.

Sample space mathematics. You may have noticed that for each of the experiments above the sum of the probabilities of each outcome is 1. Choosing a card from a deck there are 52 cards in a deck. For the experiment of rolling three six sided dice the sample space consists of the set of the 216 possible triples of the numbers 1 2 3 4 5 and 6. The sample space of an experiment is the set of all possible outcomes for that experiment.

The sum of the probabilities of the distinct outcomes within a sample space is 1. Illustrated definition of sample space. An event is a set of outcomes. This set may be discrete or continuous.

For the experiment of rolling n six sided dice where n is a positive whole number the sample space consists of 6 n elements. We will break down the formula p specific.