My main interest is on pick-3 game, and I asked myself if it's possible to win this game consistently.

Usually Mr. Ion presents a profit figure of very short period, and I'm interested on long periods.

I'm not a math so maybe the table I'm presenting has nonsense.

I read on Mr. Ion's book that the past counts, so my calculation relies on continuity of the play. If this assumption is incorrect I'll appreciate that Mr. Ion explain the correct one.

I checked what would be the theoretical probability to win consistently, playing from 1000 to 50,000 combinations, and winning from 2 to 75 times. In case the winning prize is 900, the profit at 50,000 would be 17,500. I believe I used a very conservative profit figure.

As you can see in the table bellow:

· After playing 1000 combinations, 2 winning were achieved. This case presents 1 STD from the nominal value. The probability to win twice in 1000 combs is 0.18. The cumulative probability is 0.92; meaning 92% of the people playing 1000 combinations have less than 2 winnings.

· After playing 50,000 combinations, 75 winning were achieved. This case presents 3.54 STD from the nominal value. The probability to win 75 in 50,000 combs is 0.0002. The cumulative probability is 0.999 (converging to 1.0).


My layman way of understanding the results is that the probability of consistently pick-3 winning converge to 0.

Code:
 
play	win	Profit   theoretical	std	# std	probability cumulative 
                         # of succes                                   probability	   
1000	2	800	1	1	1.00	0.184032	    0.919791	   
2000	3	700	2	1.41	0.71	0.180537	    0.857214	   
3000	5	1,500	3	1.73	1.16	0.100836      0.916183	   
4000	6	1,400	4	2	1.00	0.104222	    0.889430	   
5000	8	2,200	5	2.23	1.35	0.065271	    0.932004	   
6000	9	2,100	6	2.45	1.22	0.068838	    0.916179	   
7000	11	2,900	7	2.64	1.52	0.045155	    0.946741	   
8000	12	2,800	8	2.83	1.41	0.048115	    0.936299	   
9000	14	3,600	9	3	1.67	0.032365	    0.958615	   
10000	15	3,500	10	3.16	1.58	0.034701	    0.951346	   
20000	30	7,000	20	4.47	2.24	0.008329	    0.986567	   
30000	45	10,500	30	5.47	2.74	0.002304	    0.996060	   
40000	60	14,000	40	6.32	3.16	0.000676	    0.998806	   
50000	75	17,500	50	7.07	3.54	0.000205	    0.999631