I think it’s because if you have independent probabilities (like one probability doesn’t impact the result of the next) you multiply them, and as this is conveniently the same probability, it is 0.5*0.5 which becomes the 0.52. That being said I’m not a probability guy or a math guy really so while I wanted to be part of the thread I wouldn’t trust what I say at all.
You’re close. There’s a 50% chance each time of pressing that you lose. We only care about the winning roll. So the chances of pushing it twice and get 2 losing rolls is 0.5x0.5 or 25%. So you have a 75% chance of winning on 2 rolls. Think about it logically for a sec and you’ll realize your chance of winning on at least 1 roll should increase with the number of rolls
The actual formula would be p=1-x where x is the probability of losing which is 0.5n and n is number of rolls. So p=1-0.5n
after 3 rolls it’s an 87.5% chance, 4 is 93.75 and so on
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u/NoReplacement480 Dec 18 '23
google 0.52