New Math?

May. 14th, 2010 10:37 pm
captpackrat: (Mathnet)
[personal profile] captpackrat
The Nebraska Lottery has a lotto game called MyDay, in which you pick a month, day and 2-digit year (00-99) and if you match at least part of the date drawn, you win.  Invalid dates are not allowed (e.g. 09/31) and leap days (02/29) are only allowed if the year is divisible by 4, including 00.

Here is their odds chart:

Month+Day+Year1 in 36,525.00
Day+Year1 in 3,320.00
Month+Year1 in 1,240.00
Month+Day1 in 369.00
Year1 in 113.00
Day1 in 34.00
Month1 in 13.00

Is it me are these numbers totally screwed up?

There are 12 months in the year, so shouldn't the odds of picking a particular month be 1 in 12?  And they only use a two digit year, so that should be odds of 1 in 100, right?  Day odds are a bit trickier to calculate, 365.25 days in a year divided by 12 comes to 1 in 30.4375.

Month + Day should be 1 in 356.25, right?  There are 100 years in the game, so Month + Year should be 1 in 1200.  And Day + Year, another slightly tricky one, should be 1 in 3,043.75

They at least got the Month+Day+Year correct.

Is my math wrong, or theirs?  How did they come up with their numbers?
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