An experiment's or random trial's sample space is the set of all conceivable outcomes or results. The table that has all the possible outcomes of your random walk is table A.
What is a sample space?
An experiment's or random trial's sample space is the set of all conceivable outcomes or results. Set notation is commonly used to represent a sample space, and the potential ordered outcomes, or sample points, are given as elements in the set.
Given that You've decided to take 3 steps and randomly choose left or right as the direction each time. Therefore, the number of possible choices will be 2³. Thus, the number of possible choices will be 8.
Now, if we denote the right direction by R and the left direction by L, then the number of possible outcomes of your random walk will be,
Hence, the table that has all the possible outcomes of your random walk is table A.
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