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Anxious to know your chances in the lotto?

You will discover that your possibilities of winning are not as good as you thought!

Step 1

Define the lotto parameters

Total number of balls:

Number of balls drawn:


 

Optional lotto parameter

Is a bonus ball drawn?

Step 2

Define how you're playing

Your number of picks:

 

Step 3


See the result in the field below

About the lotto parameters

Only enter whole numbers. Start with the text field 'Total number of balls'. If the lotto draws 6 balls, you must pick 6 numbers as well, but sometimes you can select a smaller number.

Most lottos draw a bonus ball, after the main drawing. In that case, you'll have the option 'Bonus ball drawn'. The bonus ball is only valid at a certain level, mostly the top score and occasionally up to two scores lower than the top score.

An example: One can win the first prize with 6 hits, or a second prize with 5 hits, but now there's also the chance of winning a prize with 5 (regular) hits plus 1 hit (including the bonus ball).

About chances

The chances are displayed as fractions and as '1 to Number'. The higher that number, the smaller the chance, of course. Chances expressed as a percentage can be obtained from the fraction by multiplying it by 100 (moving the decimal point two places to the right, that is).

The list of chances is always concluded with a validity check. If the result is 'OK', you can fully rely on the chances as stated. The result is valid if the sum of all chances (written as fractions) is 1. This is a main rule in statistics.
Sometimes the validity check shows 'ERROR', mostly because too large numbers were to be handled.

For the statistics enthusiasts

There's no obligation, of course, to only enter numbers related to an existing lotto. If you like statistics, you can have a lot of fun entering numbers, pushing this program to its limits. Enter, for example, Total: 1000, Drawn: 100, Option: 'No', Picks: 100, and see what list you get. Isn't it amazing? Do you have any idea how long it would take you to calculate these chances without a computer?

If you see a number in scientific notation, e.g. 1.2547645846387e-9 it's in fact 0.0000000012547645846387 or if you see 1.6574367595746e27 it means 1657436759574600000000000000.

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