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What is the sample space for the face value for the throw of a fair die?

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Final answer:

The sample space for the throw of a fair die is {1, 2, 3, 4, 5, 6}, which includes all six possible face values that can appear.

Step-by-step explanation:

The sample space for the face value for the throw of a fair die consists of all the possible outcomes that can occur when the die is thrown. Since a standard die has six faces with numbers 1 through 6, the sample space is represented as {1, 2, 3, 4, 5, 6}. This means that when you throw a die, the result (face value) can be any one of these six numbers. Events can be defined using this sample space such as event A, where a face value is odd, which corresponds with outcomes {1, 3, 5}. Similarly, event B, where a face value is even, would correspond to {2, 4, 6}.

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