Blackjack

Dicing, more specifically blackjack. Think you can win? 
==How to Play==
A dice is rolled for you. This dice returns values from 0 to 100. You must decided whether to hit (roll again, and add the new number to your cumulative total) or stick (stop rolling, and keep your total). If you go over 100, you're bust. You lose. If you stick on a value lower or equal to 100 then it's the dealers turn. They must now do as you did, but they cannot stop until 1 of 2 things has happened. 1, they go over 100 - this means they're bust and you win. 2, they end up with a number between (but not equal to) your number and 100 (including 100) - they win. 
Maybe you can beat the system?
==The Simulation==
import java.util.Random;
public class BJ
{
	Random r;
	public static void main(String[] mehrLovesCock)
	{
		new BJ();
	}
	public BJ()
	{
		this.r = new Random();
		int runs = 1000000;
		int wins = 0;
		
		for(int stopVal=1;stopVal<=100;stopVal++)
		{
			wins = 0;
			
			for (int i = 0; i < runs; i++)
			{
				if (playBJ(stopVal, false))
					wins++;
			}	
			
			System.out.println("(" + stopVal + ") Won " + wins);
		}
	}
	private boolean playBJ(int numberToStickAt, boolean comments)
	{
		int myScore = 0;
		int dealersScore = 0;
		// players turn
		while (myScore < numberToStickAt)
		{
			int roll = getDiceRoll();
			myScore = myScore + roll;
			if (myScore > 100)
			{
				// bust
				return false;
			}
		}
		// dealers turn
		while (myScore >= dealersScore)
		{
			int roll = getDiceRoll();
			dealersScore = dealersScore + roll;
			if (dealersScore > 100)
			{
				// bust
				return true;
			}
		}
		return false;
	}
	private int getDiceRoll()
	{
		return r.nextInt(100 + 1);
	}
}
==The results==
I ran the simulation 1 million times per stopping value. The stopping value is the number at which the player sticks at once they have passed. For example, if 56 was my stopping value - once I had passed 56, I would no longer request another roll. With 100 stopping values to test (1 to 100 - you'll never win if you stop at 0!!) that means I ran 100 million games of blackjack to reach a well tested conclusion. The results are:
Stopping Value	Wins (out of 1,000,000)	Win Probability
1 	287982 	0.287982
2 	290642 	0.290642
3 	292870 	0.29287
4 	297177 	0.297177
5 	300496 	0.300496
6 	303117 	0.303117
7 	305111 	0.305111
8 	308874 	0.308874
9 	311999 	0.311999
10 	315254 	0.315254
11 	318795 	0.318795
12 	321586 	0.321586
13 	324285 	0.324285
14 	327570 	0.32757
15 	331065 	0.331065
16 	333632 	0.333632
17 	336886 	0.336886
18 	340076 	0.340076
19 	343729 	0.343729
20 	346234 	0.346234
21 	349794 	0.349794
22 	352900 	0.3529
23 	355721 	0.355721
24 	358641 	0.358641
25 	362016 	0.362016
26 	365588 	0.365588
27 	368372 	0.368372
28 	371550 	0.37155
29 	374800 	0.3748
30 	377652 	0.377652
31 	379999 	0.379999
32 	383199 	0.383199
33 	386825 	0.386825
34 	388623 	0.388623
35 	392324 	0.392324
36 	394799 	0.394799
37 	397404 	0.397404
38 	400216 	0.400216
39 	403865 	0.403865
40 	405707 	0.405707
41 	407847 	0.407847
42 	410937 	0.410937
43 	411718 	0.411718
44 	414895 	0.414895
45 	417321 	0.417321
46 	419843 	0.419843
47 	421939 	0.421939
48 	423176 	0.423176
49 	424166 	0.424166
50 	426380 	0.42638
51 	427794 	0.427794
52 	427981 	0.427981
53 	428459 	0.428459
54 	429495 	0.429495
55 	430220 	0.43022
56 	431844 	0.431844
57 	432985 	0.432985
58 	431474 	0.431474
59 	430898 	0.430898
60 	431217 	0.431217
61 	430548 	0.430548
62 	429582 	0.429582
63 	427317 	0.427317
64 	426523 	0.426523
65 	424731 	0.424731
66 	422475 	0.422475
67 	420993 	0.420993
68 	417020 	0.41702
69 	414489 	0.414489
70 	411089 	0.411089
71 	407786 	0.407786
72 	402800 	0.4028
73 	398719 	0.398719
74 	392925 	0.392925
75 	387484 	0.387484
76 	381321 	0.381321
77 	374870 	0.37487
78 	367258 	0.367258
79 	360021 	0.360021
80 	352190 	0.35219
81 	342675 	0.342675
82 	333364 	0.333364
83 	323620 	0.32362
84 	313624 	0.313624
85 	301334 	0.301334
86 	289752 	0.289752
87 	276429 	0.276429
88 	262749 	0.262749
89 	247551 	0.247551
90 	232317 	0.232317
91 	217219 	0.217219
92 	199761 	0.199761
93 	182022 	0.182022
94 	162140 	0.16214
95 	143176 	0.143176
96 	121959 	0.121959
97 	100032 	0.100032
98 	76493 	0.076493
99 	52174 	0.052174
100 	26806 	0.026806
==Conclusion==
As you can see from the data, the peak stopping number is somewhere between 53 and 64. The data suggests 57 or 58. So to maximize your chance of winning blackjack, make sure you stop requesting more rolls once you're over 57! But don't expect to make money in the long run, the host will still win 57% of the time. And you'll only win 43% of the time! This is marginally worse than 55x2, where you'll win 45.5% of the time! Better still (arguably) is staking at 50%!
So, congratulations to the hosts of blackjack, you'll probably make bank.
==Bonus Data==
Say you end up with 78 in blackjack, after an arbitrary amount of rolls. This table will show your probability of winning. For example, with 78 your chance of winning is (roughly) 52%.
Your Cumulative Total Roll	Chance of Winning
1 	0%
2 	0%
3 	0%
4 	0%
5 	0%
6 	0%
7 	0%
8 	0%
9 	0%
10 	0%
11 	0%
12 	0%
13 	0%
14 	1%
15 	1%
16 	1%
17 	1%
18 	1%
19 	2%
20 	2%
21 	2%
22 	2%
23 	3%
24 	3%
25 	3%
26 	4%
27 	4%
28 	4%
29 	5%
30 	5%
31 	6%
32 	6%
33 	6%
34 	7%
35 	7%
36 	8%
37 	8%
38 	9%
39 	10%
40 	10%
41 	11%
42 	11%
43 	12%
44 	13%
45 	13%
46 	14%
47 	15%
48 	16%
49 	17%
50 	17%
51 	18%
52 	19%
53 	20%
54 	21%
55 	22%
56 	23%
57 	24%
58 	25%
59 	26%
60 	27%
61 	28%
62 	29%
63 	30%
64 	32%
65 	33%
66 	34%
67 	35%
68 	37%
69 	38%
70 	39%
71 	41%
72 	42%
73 	44%
74 	45%
75 	47%
76 	48%
77 	50%
78 	52%
79 	53%
80 	55%
81 	57%
82 	59%
83 	61%
84 	63%
85 	65%
86 	67%
87 	69%
88 	71%
89 	73%
90 	75%
91 	77%
92 	80%
93 	82%
94 	84%
95 	87%
96 	89%
97 	92%
98 	94%
99 	97%
100 	100%