apagogeas,
I see that you have already answered the question you asked me.
What yo have done is fantastic.
Here is an analysis of the South African 6/49 Lottery up to Draw 384 (Bonus excluded) which you can use to compare with the theory. The % Chance calculated by your formula for y = 384 Draws * 49 yields the number of numbers that theoretically appear x times.
For Single Numbers:
1 Number has appeared 68 times. Theoretically at x = 68, 0.02 numbers should have appeared. Theoretically at x = 67, 0.03 numbers should have appeared. Theoretically at x = 66, 0.05 numbers should have appeared. And so; it is too tedious to type out all these theoretical values, so I will only add a few.
1 Number has appeared 60 times.
1 Number has appeared 59 times.
1 Number has appeared 57 times.
1 Number has appeared 55 times.
3 Numbers have appeared 53 times. Theoretically at x = 53, 1.90 numbers should have appeared.
2 Numbers have appeared 52 times. Theoretically at x = 52, 2.17 numbers should have appeared.
2 Numbers have appeared 51 times. Theoretically at x = 51, 2.43 numbers should have appeared.
5 Numbers have appeared 50 times. Theoretically at x = 50, 2.66 numbers should have appeared.
3 Numbers have appeared 49 times. Theoretically at x = 49, 2.85 numbers should have appeared.
5 Numbers have appeared 48 times. Theoretically at x = 48, 2.98 numbers should have appeared.
3 Numbers have appeared 47 times. Theoretically at x = 47, 3.04 numbers should have appeared.
1 Number has appeared 46 times. Theoretically at x = 46, 3.03 numbers should have appeared.
3 Numbers have appeared 45 times. Theoretically at x = 45, 2.43 numbers should have appeared.
2 Numbers have appeared 44 times. Theoretically at x = 44, 2.79 numbers should have appeared.
3 Numbers have appeared 43 times. Theoretically at x = 43, 2.58 numbers should have appeared.
3 Numbers have appeared 42 times. Theoretically at x = 42, 2.33 numbers should have appeared.
1 Number has appeared 41 times. Theoretically at x = 41, 2.04 numbers should have appeared.
2 Numbers have appeared 40 times. Theoretically at x = 40, 1.74 numbers should have appeared.
3 Numbers have appeared 39 times. Theoretically at x = 39, 1.45 numbers should have appeared.
1 Number has appeared 35 times.
1 Number has appeared 33 times. Theoretically at x = 33, 0.26 numbers should have appeared.
1 Number has appeared 32 times. Theoretically at x = 32, 0.17numbers should have appeared.
I suspect that a Histogram will iron out the discrepancies - the theoretical values will match the actual values, depending on the interval chosen.
For 2 Number combinations or Pairs:
2 Pairs have appeared 13 times. Is it safe to bet on these?
2 Pairs have appeared 12 times.
8 Pairs have appeared 11 times.
20 Pairs have appeared 10 times.
42 Pairs have appeared 9 times.
70 Pairs have appeared 8 times.
116 Pairs have appeared 7 times.
184 Pairs have appeared 6 times.
179 Pairs have appeared 5 times.
234 Pairs have appeared 4 times.
156 Pairs have appeared 3 times.
112 Pairs have appeared 2 times.
45 Pairs have appeared 1 times ie once.
6 Pairs have appeared 0 times ie never. When is the right time to bet on these?
For 3 Number combinations or Triads:
1 Triad has appeared 5 times. Is it safe to bet on these?
12 Triads have appeared 4 times.
141 Triads have appeared 3 times.
1051 Triads have appeared 2 times.
5102 Triads have appeared 1 times ie once.
12117 Triads have appeared 0 times ie never.
For 4 Number combinations or Quads:
2 Quads have appeared 3 times. Is it safe to bet on these?
59 Quads have appeared 2 times.
5636 Quads have appeared 1 times ie once.
206179 Quads have appeared 0 times ie never.
For 5 Number combinations:
2304 5 Number combinations have appeared 1 times ie once.
1904580 5 Number combinations have appeared 0 times ie never.
