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3 Information theoretic results edit Further information: Quantities of magie blanche pour la chance aux jeux information As a discrete probability space, the probability of any particular lottery outcome is atomic, meaning it is greater than zero.
Mega Millions followed suit in October 2017, resulting in the odds worsening from 1 in 259 million to 1 in 302.5 million.History has never been made public.An earlier Mega Millions estimate.6 billion would have been a world record for lotteries, but actual sales came in below the.586 billion.Twenty-four drawings since then have failed to produce a winner.It's about as much as 20 percent of the state's 8 billion annual budget.If the powerball is drawn from a pool of numbers different from the main lottery, the odds are multiplied by the number of powerballs.For a score of n (for example, if 3 choices match three of the 6 balls drawn, then n 3 ( 6 n ) displaystyle 6 choose n describes the odds of selecting n winning numbers from the 6 winning numbers.Powerball officials made the first such move in October 2015, changing the odds of winning the jackpot from 1 in 175 million to 1 in 292.2 million.
The ticket, sold at the KC Mart in Simpsonville, matched all six numbers drawn Tuesday night, defying the 1 in 302.5 million odds to win the near-record prize.
"Estimates are based on historical patterns she explained Wednesday morning in a phone interview with The Associated Press.
In particular, the information content of outcome x displaystyle x of discrete random variable X displaystyle X is I X ( x ) : log p X ( x ) log ( 1 p X ( x ) ).For example, the information content of any event is easy to calculate, by the formula I ( E ) : log Pr ( E ) log ( P ).You can find much more information about your privacy choices in our privacy policy.Contents, choosing 6 from 49 edit, in a typical 6/49 game, each player chooses six distinct numbers from a range of 1-49.The odds of winning are roughly 1 in 292.2 million.The ticket is worth about 877.8 million in a lump-sum cash payment, which most winners choose to take, rather than collect the full amount in annual payments over three decades.The player who matches the most of the picked numbers wins.Another example of such a game is Mega Millions, albeit with different jackpot odds.This means that there are 6 - n losing numbers, which are chosen from the 43 losing numbers in ( 43 6 n ) displaystyle 43 choose 6-n ways.While most attention has been on the Mega Millions game, Powerball also has been soaring.Using X displaystyle X representing winning the 6-of-49 lottery, the Shannon entropy of 6-of-49 above is H ( X ) p log ( p ) q log ( q ) 1 13, 983, 816 log 1 13, 983, 816 13, 983, 815 13, 983, 816.