
Originally Posted by
Klepto
Out of 100 attempts:
You first have 45 chances to succeed, 55 to fail.
Of the 45 that succeed, 32 percent of those (14.4) will succeed, 68 percent will fail (30.6).
Of the 14.4 that succeed, 20 percent of those (2.88) will succeed, 80 percent will fail (11.52).
Whether you try 100 times or 100,000 times, the chances remain the same. Because you return to 4 stars every time if you fail at any point, my math is correct here. Each "attempt" starts at 4 stars and ends with either failure (return to 4 stars) or full success at 7 stars. There is only 2.88% chance to get to 7 stars. That's why it's so rare to see 7 stars broadcast in world chat, because anything under 5% chance is considered a statistical outlier.