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# calculate the oddsPrev TopicNext Topic

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• United States
Member #837
November 6, 2002
26 Posts
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I have become very interested in studing the odds of winning the various lottery games.  It seems that the 5 number game in most cases is the better bet to win rather than a 6 number or a powerball game.

Have a question on odds calculation and hope someone here can help.

The odds calculation is pretty starightforward and rather simple.  (ie; 1/(5/39*4/38*3/37*2/36*1/35)=575,757 to 1 odds) for a 5/39 game.

The play ticket usually explains the odds for the various prize levels but also added is what is called "Overall Chances of winning on a \$1 play.  This is shown as odds of 8.7 to 1 on a 5/39 game with 4 prize catagories.

Anyone know how this "overall chance of winning" is calculated?

BfloTG

• 100
mid-Ohio
United States
Member #9
March 24, 2001
20,272 Posts
Offline

possible combination of 5 in 39 numbers is 575757
MATCH      ODDS                      WINNING COMBINATIONS
5 / 5              1 : 575757                      1
4 / 5              1 : 3387                          170
3 / 5                1 : 103                            5610
2 / 5                1 : 10                              59840

odds of a prize      1 : 8.7        (65621 / 575757)        11.39%
To get the odds of  winning a prize you divide  all the possible winning combinations by the all the possible combinations

RJOh

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