|Posted: June 19, 2004, 9:30 am - IP Logged|
BobP has posted a very interesting and helpful Pick-3 sums and roots chart at lotto-logix and he gives an example of how to use it. He suggests listing the last 18 draws and calculates their sums and roots. But the example shows only 17 draws. Why ?
Also, every root has an equal probability of comming up because there are 111 of each. Why restrict the analysis to 18 draws? The table of Pick-3 sums would be more useful if supplemented with the nominal frequecy for each sum, such as :1-3-6-10-15-21-28-36-45-55-63-69-73-75-75-73-69-etc.
It would be interesting to see a table of sum and root frequencies for the longest running Pick-3 game. One can calculate the likely number of missing integers after N draws with the formula 0.999^N, which yields 368 missing after 1000 draws, 135 after 2000 draws, 50 after 3000 draws, 18 after 4000 draws, 7 after 5000 draws, 2 after 6000 draws, 1 after 7000 draws and 0.3 after 8000 draws.Thus it would be unrealistic to expect all numbers to be drawn in any state lottery run less than 22 years.
BobP is invited to comment.