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I think that you are reading wikipedia wrong. It correctly shows on the table that there is a 25% chance for the first pick, 21.5% 2nd, 17.8% 3rd, 35.7% 4th. That adds up to 75%.
Only 3 teams can move up in the lottery so the worst pick that the bottom team can get through the lotter is 4th. If there is a 25% of getting the top pick it has to be a combined chance of 75% of ending up in the next three picks.
Yeah, I was reading it wrong. I was adding up each team's chance of getting the one seed instead. Great reading skills.
Steve