How many clicks are required to reach a 50/50 chance of winning the Powerbloop?
In the 0.25 Clicker Heroes patch, the Powerbloop, which is essentially a click lottery, was introduced (likely a reference to the Powerball lottery held around the same time).
Participation in the Powerbloop is done by clicking a Bloop, and each click "draws" a random number between 1 and 292,201,338. Winning is done by drawing exactly 292,201,338, thus every click is a 1/292,201,338 chance of winning.
How many times do I, on average, have to click to reach a certain (say 50 %) chance of winning, and how long would it take?
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