If you study the list of past winning numbers on the UK National Lottery, you will see that randomly drawn lottery numbers tend to be more or less evenly distributed over the entire number field. When you add up the six winning numbers in the UK National Lottery game, you get a sum.

Add up the six winning numbers for several of the lottery drawings and you will find that most of the winning combinations tend to fall within the same range of figures.

Randomly drawn lottery numbers tend to have their sums distributed as a bell-shaped curve. The range of all possible sums in the 49 number UK National Lottery is between 21 and 279. If we were to plot the number of combinations that could be made with the various sums, we would see a perfect bell-shaped curve, with the sums 21 and 279 at either end.

In the 6 ball UK National Lottery game with a 49 number field, there is only one six-number combination that adds up to 21:

1 + 2 + 3 + 4 + 5 + 6 = 21.

And, in the 49 number field, only one six-number combination adds up to 279:

44 + 45 + 46 + 47 + 48 + 49 = 279.

Those two combinations have the smallest and largest possible sums. And they occur only once - at the tail ends of a bell curve, making it extremely unlikely for either of those groups of numbers to be drawn as a winning combination on the UK National Lottery. Clearly you can improve your winning chances by selecting a set of lottery numbers which fall within the range of figures which prove the vast majority of wins on the UK National Lottery.