Odds of Winning the Powerball
Автор: Midwest Math
Загружено: 2026-01-06
Просмотров: 150
Powerball jackpots regularly reach hundreds of millions, and sometimes over a billion dollars. But what are the actual odds of winning the jackpot?
In this video, we break down how the Powerball lottery works and use combinations and factorials to calculate the true odds of winning. We start by exploring permutations, explain why order does not matter, and then derive the binomial coefficient used to compute the number of possible tickets.
00:00 Intro to Powerball Odds
00:14 How Powerball Works
00:45 Counting Permutations
01:54 Correcting for Overcounting
02:16 Binomial Coefficients (n Choose k)
02:55 Adding the Powerball
03:17 How Rare Is This Really?
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