|Posted: January 25, 2004, 3:00 pm - IP Logged|
Kynge, Hope you don't mind if I copy your Part II on V-tracs here along with part I
Of the 125 Vtrac combinations, there are 35 that I call "boxed combinations". They are 111-112-113-114-115-122-123-124-125-133-134-135-144-145-155-222-223-224-225-233-234-235-244-245-255-333-334-335-344-345-355-444-445-455 and 555.
As you can see, there are 5 triples, 20 doubles and 10 with three unique numbers.
There are 10 that contain all odd digits, 12 that have two odd and one even digit, 9 that have one odd and two even digits, and 4 that contain all even digits.
The range of the sum of the numbers with the number of combinations:
9 = 5 8-10 = 13 7-11 = 21 6-12 = 27 5-13 = 31 4-14 = 33 3-15 = 35
The roots are more evenly distributed, either having 3, 4 or 5 combinations each.
Given any Vtrac number that has three unique digits, the probability that at least one number will repeat in the next drawing is 88.6%. If the number was a double, the probability is 71.4%. If the number was a triple, the probability is 42.9%. Overall, the probability is 72.2% [ 0.286*0.886] + [0.571*0.714] + [0.143*0.429].
.Kynge......didn't want them to get separated. Thanks for posting. Perhaps you could also post this information up on the Systems Forum ......that way it wouldn't vanish over the hill so quickly. Thanks again.
The only real failure .....is the failure to try.
Luck is a very rare thing....... Odds not so much.
Odds never change .....but probability does.