The Powerball jackpot for Wednesday's drawing is now $1.5 billion and counting. Powerball has only had one jackpot winner since the odds of winning the largest prize decreased to 1 in 292,201,338 in October 2015. To my surprise, Wolfram Alpha knows the odds of winning other lottery games, and more importantly, it has an answer to How do I win the lottery?
Data about other lotteries from WolframAlpha can be easily accessed using the Wolfram Language. Here I sorted them from lower to bigger odds of winning the lottery:
data = {First[#], Last[#],
Quiet[WolframAlpha[ Last[#] <> " Lotteries", {{"LotteryGamesInCountry", 1}, "ComputableData"}]]} & /@ EntityValue[CountryData[All], {"Flag", "Name"}];
lottos = SortBy[
Flatten[Thread[List[#[[1]], #[[2]], Part[Drop[#[[3]], 1], All, 1], 1/ToExpression@Last@StringSplit[#] & /@ Part[Drop[#[[3]], 1], All, 2]]] & /@
Select[data, ! MissingQ[Last[#]] &], 1], Last]
Ok, but how does it really compare with Powerball?
ListLogPlot[{Map[Tooltip[Last[#], Column[#]] &, lottos],
Tooltip[ConstantArray[1/292201338, Length[lottos]], Column[{CountryData["US", "Flag"], "Powerball", 1/292201338}]]},
Joined -> {False, True},
Ticks -> {MapIndexed[{First@#2, Rotate[Part[#1, 3] <> " (" <> Part[#1, 2] <> ")", 80 Degree], 0.01} &, SortBy[lottos, Last]], Automatic},
Filling -> {1 -> Axis}, ImageSize -> 800]
And how does Powerball compare with other Lotteries within the US?
data = DeleteMissing[Quiet[WolframAlpha[# <> " Lotteries", {{"LotteryGamesInState", 1}, "ComputableData"}]] & /@
Complement[CountryData[Entity["Country", "UnitedStates"], "Regions"], {"Alabama", "Alaska", "Hawaii", "Mississippi", "Nevada", "Utah", "Wyoming"}]];
lottosUS = SortBy[Union[Flatten[Thread[List[Part[Drop[#, 1], All, 1], 1/ToExpression@Last@StringSplit[#] & /@
Part[Drop[#, 1], All, 2]]] & /@ data, 1]], Last];
ListLogPlot[Map[Tooltip[Last[#], Column[#]] &, Prepend[lottosUS, {"Powerball (October 2015)", 1/292201338}]],
Ticks -> {MapIndexed[{First@#2, Rotate[First[#1], 85 Degree], 0.01} &, Prepend[lottosUS, {"Powerball (October 2015)", 1/292201338}]],
Automatic}, Filling -> Axis, ImageSize -> 800]
Certainly, the new Powerball odds of winning the lottery are the lowest in the US!