Lottery Winning Odds

Winning the lottery is a matter of luck. From a mathematical point of view, the chances of winning a lottery jackpot are determined by several factors common to all lotteries: the count of possible numbers (49, 51 etc.), the count of winning numbers drawn (5, 6, 5+2 etc), if order is significant or not.

In a typical 6/49 lotto, 6 numbers are drawn from 49 and if the 6 numbers on a ticket match the numbers drawn, the ticket holder is a jackpot winner. In this particular case the odds of winning the jackpot are approximately 1 in 14 million (13,983,816). These odds, along with the winning odds for other lottery variations (6/51, 6/42 etc) are shown in the table below.

Any lottery offers some derivative tickets that can be played, and players can choose more than the number of balls drawn. Though this might cost a bit more than simple tickets, the winning odds are more on your side. You can also see these odds in the table below – just follow the lotto variation you’re interested in and check the odds for the number of marked spots you want to play.

Do not be discouraged by these odds. This is only a mathematical appreciation. Lottery is a game of chance and as you can see there are winners every week despite these odds.

Numbers played
6/51
6/50
6/49
6/48
6/47
6/45
Played 6 1 in 18009460.00 1 in 15890700.00 1 in 13983816.00 1 in 12271512.00 1 in 10737573.00 1 in 8145060.00
Played 7 1 in 2572780.00 1 in 2270100.00 1 in 1997688.00 1 in 1753073.14 1 in 1533939.00 1 in 1163580.00
Played 8 1 in 643195.00 1 in 567525.00 1 in 499422.00 1 in 438268.29 1 in 383484.75 1 in 290895.00
Played 9 1 in 214398.33 1 in 189175.00 1 in 166474.00 1 in 146089.43 1 in 127828.25 1 in 96965.00
Played 10 1 in 85759.33 1 in 75670.00 1 in 66589.60 1 in 58435.77 1 in 51131.30 1 in 38786.00
Played 11 1 in 38981.52 1 in 34395.45 1 in 30268.00 1 in 26561.71 1 in 23241.50 1 in 17630.00
Played 12 1 in 19490.76 1 in 17197.73 1 in 15134.00 1 in 13280.86 1 in 11620.75 1 in 8815.00
Played 13 1 in 10495.02 1 in 9260.31 1 in 8149.08 1 in 7151.23 1 in 6257.33 1 in 4746.54
Played 14 1 in 5997.16 1 in 5291.61 1 in 4656.62 1 in 4086.42 1 in 3575.62 1 in 2712.31
Played 15 1 in 3598.29 1 in 3174.97 1 in 2793.97 1 in 2451.85 1 in 2145.37 1 in 1627.38
Played 16 1 in 2248.93 1 in 1984.35 1 in 1746.23 1 in 1532.41 1 in 1340.86 1 in 1017.12
Played 17 1 in 1455.19 1 in 1283.99 1 in 1129.91 1 in 991.56 1 in 867.61 1 in 658.13
Played 18 1 in 970.13 1 in 856.00 1 in 753.28 1 in 661.04 1 in 578.41 1 in 438.76
Played 19 1 in 663.77 1 in 585.68 1 in 515.40 1 in 452.29 1 in 395.75 1 in 300.20
Played 20 1 in 464.64 1 in 409.98 1 in 360.78 1 in 316.60 1 in 277.03 1 in 210.14
Played 21 1 in 331.89 1 in 292.84 1 in 257.70 1 in 226.14 1 in 197.88 1 in 150.10
Played 22 1 in 241.37 1 in 212.97 1 in 187.42 1 in 164.47 1 in 143.91 1 in 109.16
Played 23 1 in 178.41 1 in 157.42 1 in 138.53 1 in 121.56 1 in 106.37 1 in 80.69
Played 24 1 in 133.80 1 in 118.06 1 in 103.89 1 in 91.17 1 in 79.78 1 in 60.51
Played 25 1 in 101.69 1 in 89.73 1 in 78.96 1 in 69.29 1 in 60.63 1 in 45.99
Played 26 1 in 78.22 1 in 69.02 1 in 60.74 1 in 53.30 1 in 46.64 1 in 35.38
Played 27 1 in 60.84 1 in 53.68 1 in 47.24 1 in 41.46 1 in 36.27 1 in 27.52
Played 28 1 in 47.80 1 in 42.18 1 in 37.12 1 in 32.57 1 in 28.50 1 in 21.62
Played 29 1 in 37.91 1 in 33.45 1 in 29.44 1 in 25.83 1 in 22.60 1 in 17.15
Played 30 1 in 30.33 1 in 26.76 1 in 23.55 1 in 20.67 1 in 18.08 1 in 13.72
Played 31 1 in 24.46 1 in 21.58 1 in 18.99 1 in 16.67 1 in 14.58 1 in 11.06
Played 32 1 in 19.87 1 in 17.54 1 in 15.43 1 in 13.54 1 in 11.85 1 in 8.99
Played 33 1 in 16.26 1 in 14.35 1 in 12.63 1 in 11.08 1 in 9.69 1 in 7.35
Played 34 1 in 13.39 1 in 11.82 1 in 10.40 1 in 9.12 1 in 7.98 1 in 6.06
Played 35 1 in 11.10 1 in 9.79 1 in 8.62 1 in 7.56 1 in 6.62 1 in 5.02
Played 36 1 in 9.25 1 in 8.16 1 in 7.18 1 in 6.30 1 in 5.51 1 in 4.18
Played 37 1 in 7.75 1 in 6.84 1 in 6.02 1 in 5.28 1 in 4.62 1 in 3.50
Played 38 1 in 6.52 1 in 5.76 1 in 5.07 1 in 4.45 1 in 3.89 1 in 2.95
Played 39 1 in 5.52 1 in 4.87 1 in 4.29 1 in 3.76 1 in 3.29 1 in 2.50
Played 40 1 in 4.69 1 in 4.14 1 in 3.64 1 in 3.20 1 in 2.80 1 in 2.12
Played 41 1 in 4.01 1 in 3.53 1 in 3.11 1 in 2.73 1 in 2.39 1 in 1.81
Played 42 1 in 3.43 1 in 3.03 1 in 2.67 1 in 2.34 1 in 2.05 1 in 1.55
Played 43 1 in 2.95 1 in 2.61 1 in 2.29 1 in 2.01 1 in 1.76 1 in 1.34
Played 44 1 in 2.55 1 in 2.25 1 in 1.98 1 in 1.74 1 in 1.52 1 in 1.15
Played 45 1 in 2.21 1 in 1.95 1 in 1.72 1 in 1.51 1 in 1.32 1 in 1.00
Played 46 1 in 1.92 1 in 1.70 1 in 1.49 1 in 1.31 1 in 1.15
Played 47 1 in 1.68 1 in 1.48 1 in 1.30 1 in 1.14 1 in 1.00
Played 48 1 in 1.47 1 in 1.29 1 in 1.14 1 in 1.00
Played 49 1 in 1.29 1 in 1.14 1 in 1.00
Played 50 1 in 1.13 1 in 1.00
Played 51 1 in 1.00

But lotteries can be much more complex than the ones above. A few examples like Mega Millions (multi-state lottery in the United States) or EuroMillions (European based lottery) hit from time to time very large jackpots. The main reason behind this is the lower winning odds. Financial engineers have used in these cases a small trick: the use of 2 bags of numbers. During a lottery drawn, a jackpot winner must have marked the correct numbers from both bags. Let’s take for example the Mega Millions lottery. This game uses 2 bags of numbers, first with numbers ranging from 1 to 56, and second bag with numbers ranging from 1 to 46. Each draw will get 5 numbers out of the first bag, and one number out of the second bag (the Mega Ball number). The jackpot winner must hit correctly all the numbers from both bags. In this particular situation the actual odds of winning are 1 in 175,711,536.

We know the above odds of actually hitting the right numbers are very low for you as a player, but this is what makes the game attractive and the jackpots higher – the difficulty of winning. Nevertheless, remember that we have winners all the time, so even though mathematical speaking the odds are not on your side, you can still win, and win big time. So do you have the winning numbers for the next draw? Play now over the internet at any national lottery in the world! Jackpots available are over 500 million USD.