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Zach scores a ringer 40\%40%40, percent of the time that he throws a horseshoe. Let RRR be the number of throws it takes Zach to score his first ringer in a game. Assume the results of each throw are independent. Find the probability that it takes Zach 222 or fewer throws to score his first ringer.

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Zach scores a ringer 40\%40%40, percent of the time that he throws a horseshoe. Let RRR be the numbe...
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