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Consider the event of tossing a fair coin three times and recording the results sequentially. 1) Write the sample space of this event S.

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Consider the event of tossing a fair coin three times and recording the results sequentially. 1) Write the sample space of this event S. 2) What is the probability of obtaining two heads? 3) What is the probability of obtaining one tail? 4) Let X be a function from S to R the set of real numbers, defined by: X(s) = the number of heads. What are the values of P(0 < X 5 2), P(X 2), P(X S 3), P(X S -1).

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