US Powerball

Complete Odds
and
Return to Players

           

The purpose of this page is to provide Powerball players with the supplemental information that is not readily available on the sponsored lottery site.

Powerball
Highlights
Jumbo 2.73% 97.27% 36.61 $0.30 $0.0068 $10.97
Class Winners Losers Overall Odds Overall Return Return Sensitivity Payout per $

We believe this is important because most lotteries only provide players with minimal amount of information: the odds of each winning combination occurring; the overall probability of having a winning ticket; the price of each ticket; the game format; the total number of combinations; and a few other items.

However, this page fills in the missing blanks. Included here are the complete odds and probabilities of every winning and losing occurring. It provides you with a comparison of winners to losers, the monies collected, the monies distributed back to players, and more.

Lottery Power Picks has taken every effort to ensure that this summary information is correct by reading and bookmarking all information provided by the organizing lottery body. But, in certain instances, clearly defined rules are not written. In those instances, we made assumptions that are linguistically consistent with the rules. Should any information be incorrect, please inform us so that we may correct it. We hope you find this information useful in understanding the lottery you play.


About Powerball a US Multi-State lottery that is played in 29 states, Washington DC, and the Virgin Islands. It is governed by the Multi-State Lottery Association, MUSL. This is a non-profit government benefit association owned and operated by the 31 member lotteries.

Format Powerball requires a player to make 2 choices: (1) Pick 5 numbers out of a set of 55 white balls; and (2) Pick 1 Powerball from a set of 42 balls. If the player picks the same numbers as those that are drawn in the next drawing, the player wins the Jackpot prize. Smaller prizes are awarded for other combinations.

Class Powerball is a Jumbo Lottery. We classify it as such because its Jackpot Parity is approximately $117 million, which is over $100 million

Prizes The minimum Powerball jackpot prize is a $15,000,000, which may be paid as either a annuity or as a discounted cash value. All other cash prizes are predefined as well and are summarized in the table below. If no one wins the jackpot amount, a portion of the proceeds is rolled forward to the next drawing, allowing the jackpot to grow. All other prizes are established as a fixed amount, and do not vary.

Combinations In the Powerball, there are a total of 146,107,962 combinations.

Winners Of these, there are 3,991,302 winning combinations. This represents 2.73% of the combinations. The overall odds of having a winning combination is 36.61 to 1 (the lower the better).

Losers There are 142,116,660 losing Powerball combinations. This is 97.27% of the combinations. The overall odds of having a losing combination is 1.03 to 1 (the higher the better; because as this number gets closer to 1, nearly every ticket is a loser.

Price Each Powerball ticket costs $1.0

Money Raised Assuming all tickets are sold and there are no duplicates, a total of $146,107,962 will be raised.

Table PB-4: Powerball Lottery Summary
Format 5/55+1/42
Class Jumbo
Min Jackpot $15M
Jackpot Type Annuity
Combos 146,107,962
Total Winners 3,991,302
Total Losers 142,116,660
Overall Winners 36.61
Overall Losers 1.03
Pct Winners 2.73%
Pct Losers 97.27%
Price $1.00
Amount Raised $146,107,962
Tot Payout $43,800,030
Avg Ticket Payout $10.97
Normalized Payout/$ $10.97
ReturnOn$ $0.30
Jackpot/Odds $409,763
Return Sensitivity $0.0068
Jackpot Parity $117,307,932


Prize Pool Of this, $43,800,030 will be allocated to the prize pool to be paid back to the players when the jackpot is set to $15.0 million.

Average Winning Ticket Payout On the average, each winning ticket will pay $10.97 to the players. Since a ticket costs $1, the normalized payout per $ spent is also $10.97

Income Returned to Players Based on this information, $0.30 of each $ raised will be returned to the players.

Return Sensitivity If the Powerball Jackpot changes by $1.0 million, the above Income Returned to Players will change by $0.0068 (up or down).

Parity In order for Powerball to return $1.00 of each dollar raised, the Jackpot must be equal to $117,307,932.00

       

The following Table summarizes the odds, occurances, probability, number of winning combinations,
percent of prize pool, prize payout per combination, and the total cash payout of the combination pool.
Table PB-5: US Powerball Expanded Odds Calculations
TotPBOddsOccurProbabilityWinnersPrize%PrizePoolPrize$Payout
51146,107,962.0010.000001%110.27%15,000,00015,000,00015,000,000
53,563,608.83410.000028%415.61%8,200,000200,0008,200,000
41584,431.852500.000171%2501.71%2,500,00010,0002,500,000
414,254.4410,2500.007015%10,2500.70%1,025,0001001,025,000
3111,927.1812,2500.008384%12,2500.84%1,225,0001001,225,000
3290.91502,2500.343753%502,2502.41%3,515,75073,515,750
21745.45196,0000.134147%196,0000.94%1,372,00071,372,000
218.188,036,0005.500042%
11126.881,151,5000.788116%1,151,5003.15%4,606,00044,606,000
13.0947,211,50032.312750%
0168.962,118,7601.450133%2,118,7604.35%6,356,28036,356,280
01.6886,869,16059.455459%
Sum146,107,962100.000000%3,991,30229.98%43,800,030

References
You can learn more about the Powerball and verify our findings by visiting our references.