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Consider an experiment involving tossing a coin 2 times and recording the number of observed heads and tails: (1) Obtain the sample space Ω; and (2) De?ne X as a two-dimensional random variable (X1 , X2) where X1 is the number of heads obtained in the ?rst toss, and X2 is the number of heads obtained in the second toss. Obtain the new space V. (3) Assuming equiprobable outcomes, obtain the induced probability PX.

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