Lottery Statistics

Lottery Stats

Looking at the lottery statistics from the hundreds and thousands of lottery drawings over the years lets you dissect and analyze which number combinations win the most, and why.

Once you start to see the winning patterns, you might not be able to guess which are going to be the winning number combination in the upcoming lottery drawing, but you can set a range of numbers that are (supposedly) more likely to win, statistically.

I’ve chosen to look at the Mega Millions and Powerball lottery games over the past 20 years or so, since those are the U.S. lottery games more people are likely to be familiar with. Keep in mind there is a fallacy inherent in the analysis of even/odd number combinations, because there are more combinations of numbers with 3 evens/3 odds, and therefore those are most likely to be drawn. Since there are more combinations, this does not necessarily mean the 3/3 even-odd combination you choose is any more likely than a 6-even, 0-odd combination is to hit.

Mega Millions Lottery Number Statistics

Lottery StatisticsBelow are the number of times that different Even/Odd number combinations have won in the 800+ Megamillions and Big Game lottery drawings over the years. While there have been more even numbers (2253) drawn than odd numbers (2107), you’ll notice that it’s highly unlikely that 6 even numbers or 6 odds numbers are going to be drawn themselves. If you want to play the odds, you want to select a nice mixture of odds and even numbers, either 4/2, 3/3 or 2/4. Of those, the 3 Even and 3 Odds combination is still way ahead of the next leading combination, with 81 more wins, which is nearly 10% of the entire sample. With over 35% of the wins coming with 3 odd and 3 even numbers, it’s probably a good idea to diversify.

  • 6 Even Numbers + 0 Odd Numbers – 14
  • 5 Even Numbers + 1 Odd Number – 75
  • 4 Even Numbers + 2 Odd Numbers – 224
  • 3 Even Numbers + 3 Odd Numbers – 305
  • 2 Even Numbers + 4 Odd Numbers – 184
  • 1 Even Number + 5 Odd Numbers – 63
  • 0 Even Numbers + 6 Odd Numbers – 7

Mega Millions Lottery Statistics – Sum of Numbers Chosen

Another way to look at the lottery numbers is what those numbers add up to, if you add all 6 winning lottery numbers together. In this way, you can choose a range of numbers that adds up to an optimal amount.

I’ll list the number of winning lotteries alongside the numbers range (of the sum of 6 numbers), to show where you should be choosing numbers. (See this article on How to Pick Lottery Numbers too.) The second statistics, “Sum of the Numbers”, shows what range of numbers the additional of all six come to. So if the range is between 121 and 130, the additional of all six winning lottery numbers added up to a number within that range.

Wins — Sum of the Numbers

0 —– 15 to 30
10 — 31 to 60
13 — 61 to 70
18 — 71 to 80
26 — 81 to 90
50 — 91 to 100
63 — 101 to 110
69 — 111 to 120
97 — 121 to 130
93 — 131 to 140
99 — 141 to 150
79 — 151 to 160
82 — 161 to 170
77 — 171 to 180
46 — 181 to 190
21 — 191 to 200
16 — 201 to 210
9 —– 211 to 220
3 —– 221 to 230
3 —– 231 to 240
0 —– 241 to 270

The average sum of all the winning numbers comes to 140. But as you can see, the three ranges between 121 and 150 are the three to target, because while 121-130, 131-140, and 141-150 have roughly the same number of winning combinations, each of those three ranges are significantly higher than the next best number combination.

From analyzing these Megamillions lottery statistics, the best option is to select a number combination including 3 even numbers and 3 odd numbers, but whose sums come to right around 140 in total. For instance, you might choose 3, 14, 20, 29, 33 and 52 (52 not being for the yellow ball, of course), which adds up to 141. That’s just one of countless examples, but your range should be in that 131 to 150 category, and as close to 140 as possible, if you want optimal probabilities.

Powerball Lottery Number Statistics

In the case of the Powerball statistics, you’ll notice that the general outline of the statistics are the same. In Powerball, though, the odd numbers have been winning numbers a little more often, with 4046 odd winning numbers and 4024 even winning numbers. The odd numbers have been particularly successful for the actual Power Ball, with 692 winning odd Power Ball numbers and 653 for the even winning Power Ball numbers. But choosing 3 even numbers and 3 odds numbers remains the median statistic, while 4/2 in favor of the odds and 2/4 in favor of the evens have significant numbers of wins.

  • 6 Even Numbers + 0 Odd Numbers – 15
  • 5 Even Numbers + 1 Odd Number – 125
  • 4 Even Numbers + 2 Odd Numbers – 314
  • 3 Even Numbers + 3 Odd Numbers – 417
  • 2 Even Numbers + 4 Odd Numbers – 344
  • 1 Even Number + 5 Odd Numbers – 114
  • 0 Even Numbers + 6 Odd Numbers – 16

Powerball Lottery Statistics – Sum of Numbers Chosen

For this analysis, I’m going to leave out the Powerball stats, which can throw off the calculations somewhat, since they are a separate selection process. So the following is only for the 5 non-Powerball drawn numbers.

Wins — Sum of the Numbers

1 —— 15 to 30
17 —– 31 to 60
15 —– 61 to 70
24 —– 71 to 80
59 —– 81 to 90
89 —– 91 to 100
111 — 101 to 110
131 — 111 to 120
152 — 121 to 130
164 — 131 to 140
137 — 141 to 150
137 — 151 to 160
107 — 161 to 170
69 —– 171 to 180
62 —– 181 to 190
37 —– 191 to 200
14 —– 201 to 210
7 —— 211 to 220
5 —— 221 to 230
1 —— 231 to 240
2 —— 241 to 250
1 —— 251 to 260
0 —— 261 to 285

Powerball Winning Number Statistics

Finally, here is a breakdown of which red Power Ball numbers came up as the winning number the most. I wouldn’t put much weight into the following statistics, though, because I see now reason to think any one number is more likely to be drawn than the next. It’s just that even a 1000+ drawings is too small of a statistical sample for the deviations to smooth out. The number “20″ is no more or less likely to be drawn than the number “5″, unless you believe there is a mechanical flaw in the balls that keep the 20 coming up more often (not likely).

For information and entertainment purposes, though, I’ve included the following numbers

#of Wins                 Lottery Number

0 — 5, 49
1 — 2, 8, 24, 34, 40, 46, 54
2 — 3, 12, 14, 15, 18, 19, 26, 28, 41, 42, 43, 44, 45, 50, 53, 55, 58, 59
3 — 1, 6, 9, 16, 23, 25, 29, 32, 35, 37, 47, 48, 51, 56, 57
4 — 7, 11, 13, 17, 21, 31, 33, 39, 52
5 — 4
6 — 36, 38
7 — 10, 22, 27
8 — 20, 30

These numbers suggest you select 3 odd numbers and 3 even numbers when choosing to play the Powerball lottery, and have those 5 white balls add up to somewhere between 131 and 140 (135 being the median value). When it’s time to choose your Powerball number, use the numbers above to choose the “hot” numbers or the numbers that are “due”, or just select your own at random. (See Pick Lottery Numbers.)

Lottery Stats – Analyzing the Lottery

Once again, there is just a larger number of 3-even, 3-odd number combinations, so no one combination is likely to be more likely to hit than any other combination, even those with all evens or all odds. That’s the trouble with looking at any lottery statistics, as the numbers can be misleading, if you aren’t careful. In the end, the odds are tremendously against you ever winning the lottery, so I suggest you take a deep breath, choose the first six numbers that come to mind, and enjoy your chance at hitting the jackpot. (I prefer the easier odds and smaller payouts that are available at WorldWinner, personally.)

One thought on “Lottery Statistics

  1. Peter Charles

    The sum of the numbers is not really valid. Sure the middle ranges will be most successful, but that is because there are more ways to make them. In the national lottery, there is only 1 way to make 21 but countless ways to make 151. You don’t get any prizes for guessing the correct sum total.

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