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Consider the following random experiment: We toss a biased coin with tails probability p repeatedly until the first tails appears. The outcome is the number

Consider the following random experiment: We toss a biased coin with "tails" probability p repeatedly until the first "tails" appears. The outcome is the number of coin flips in this sequence before (i.e. not including) the first "tails". Define the probability space for this random experiment

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