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A box contains three "shape" as described in Example 1.3.3. one of the shapes is a fir die, and lands flat with probability 1/3. The other two shapes land flat with probabilities 1/2 and 2/3, respectively.

a) One of the three shapes will b e chosen at random, and rolled. What is the chance that the number rolled is 6?

b) Given that the number rolled is 6, what is the chance that the fair die was chosen?

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