Calculate the natural filtration in the wheel of fortune example of problem 2.1, generated by the outcome

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Calculate the natural filtration in the wheel of fortune example of problem 2.1, generated by the outcome hold?image

Problem 2.1

Consider the simplified version of a wheel of fortune, given in Figure 2.5. Create a complete probability space as a model for one turn of the wheel. Assume that the wheel is fair in the same idealized way as the die is usually assumed to be.

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Fig. 2.5?Simplified wheel of fortune with three possible outcomes

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