Monday, December 8, 2014

텍사스 홀덤게임 이길 수 있는 확률의 비교

이 게임은 처음 2장의 카드를 받아 보고 "어떻게 대처하는가"가 가장 중요하다. 즉 자신에게 주어진 Hole Cards 2장이 승패에 가장 큰 영향을 미친다.
그럼 이 2장의 카드를 받아보고 어떻게 대처해야 하는지를 연구해 보자.
 
다음표는 게임에 참가한 플레이어의 숫자에 따라 자신이 받은 카드 2장에 대한 모든 경우에 대해서 이길 수 있는 확률(비기는 경우를 포함)이 얼마가 되는지를 알아보고, 또 배팅을 해야 하는지를 안해야 하는지를 나타내고 있다.
배팅해야하는 곳은(파란색) 으로 표시하였다. (핑크색) 이하의 곳에서는 이길 확률보다 질 확률이 더 많으므로 절대 배팅하지 말 것. 또한 (노란색)으로 표시된 곳은 상황에 따라 배팅 할 수도 있고 폴드할 수도 있는 곳이다.

2명
3명
4명
6명
8 명
10 명
Pair of A's
85.5%
73.8%
64.2%
49.4%
39.1%
31.4%
Pair of K's
82.7%
69.2%
58.6%
43.1%
33.3%
26.4%
Pair of Q's
80.2%
65.3%
53.9%
38.7%
28.7%
22.7%
Pair of J's
77.8%
61.6%
49.6%
34.6%
25.1%
19.8%
A/K suited
67.9%
51.8%
42.5%
32.1%
26.0%
21.7%
Pair of 10's
75.4%
58.0%
45.7%
31.1%
22.3%
17.8%
A/Q suited
67.1%
50.6%
41.1%
30.6%
24.5%
20.4%
K/Q suited
64.4%
48.3%
39.4%
29.7 %
23.7%
19.8%
A/J suited
66.4%
49.5%
39.9%
29.4%
23.4%
19.5%
A/K unsuited
66.2%
49.3%
39.7%
29.0%
22.7%
18.3%
Pair of 9's
72.5%
54.1%
41.6%
27.8%
19.9%
16.1%
K/J suited
63.7%
47.2%
38.2%
28.5%
22.7%
18.9%
A/10 suited
65.7%
48.5%
38.8%
28.4%
22.6%
18.9%
Q/J suited
61.5%
45.6%
37.0%
27.9%
22.1%
18.6%
K/10 suited
63.0%
46.2%
37.1%
27.6%
21.9%
18.3%
A/Q unsuited
65.4%
48.0%
38.1%
27.3%
21.0%
16.8%
Q/10 suited
60.8%
44.6%
36.0%
27.0%
21.4%
18.0%
K/Q unsuited
62.5%
45.6%
36.4%
26.5%
20.3%
16.3%
J/10 suited
58.7%
43.4%
35.3%
26.7%
21.3%
18.1%
Pair of 8's
69.6%
50.5%
38.1%
25.2%
18.2%
15.0%
A/J unsuited
64.6%
46.8%
36.8%
26.0%
19.7%
15.7%
A/9 suited
64.1%
46.2%
36.2%
26.0%
20.3%
16.9%
K/J unsuited
61.7%
44.5%
35.1%
25.1%
19.1%
15.3%
K/9 suited
61.3%
43.9%
34.5%
25.1%
19.5%
16.2%
A/8 suited
63.4%
45.3%
35.3%
25.3%
19.7%
16.3%
A/10 unsuited
63.9%
45.8%
35.6%
24.9%
18.7%
14.9%
Q/J unsuited
59.4%
42.8%
34.0%
24.6%
18.7%
15.1%
Q/9 suited
59.1%
42.3%
33.4%
24.5%
19.0%
15.9%
10/9 suited
55.7%
40.4%
32.6%
24.4%
19.2%
16.3%
A/5 suited
61.8%
43.6%
33.9%
24.8%
19.3%
16.2%
J/9 suited
57.2%
41.1%
32.8%
24.2%
19.0%
16.0%
A/7 suited
62.6%
44.3%
34.4%
24.5%
19.1%
15.9%
K/10 unsuited
61.0%
43.4%
33.9%
24.1%
18.2%
14.6%
Pair of 7's
66.7%
47.0%
34.9%
23.0%
16.9%
14.1%
Q/10 unsuited
58.6%
41.7%
32.8%
23.6%
17.8%
14.5%
A/4 suited
60.9%
42.7%
33.1%
24.0%
18.9%
15.9%
J/10 unsuited
56.7%
40.6%
32.2%
23.5%
17.9%
14.6%
A/6 suited
61.6%
43.2%
33.3%
23.8%
18.6%
15.6%
K/8 suited
59.8%
41.9%
32.5%
23.3%
18.1%
15.0%
A/3 suited
60.1%
41.8%
32.3%
23.4%
18.4%
15.5%
Q/8 suited
57.6%
40.3%
31.4%
22.6%
17.5%
14.6%
K/7 suited
59.2%
41.2%
31.8%
22.7%
17.6%
14.6%
10/8 suited
54.2%
38.5%
30.5%
22.5%
17.7%
15.1%
J/8 suited
55.7%
39.1%
30.8%
22.5%
17.4%
14.7%
A/2 suited
59.3%
40.9%
31.4%
22.7%
17.9%
15.0%
9/8 suited
52.8%
37.7%
30.1%
22.2%
17.3%
14.7%
Pair of 6's
63.9%
43.8%
32.1%
21.2%
15.8%
13.5%
A/9 unsuited
62.1%
43.3%
32.8%
22.2%
16.3%
12.7%
K/6 suited
58.5%
40.3%
31.0%
22.1%
17.2%
14.4%
K/5 suited
57.8%
39.5%
30.3%
21.9%
16.8%
14.1%
K/9 unsuited
59.2%
40.9%
31.1%
21.4%
15.6%
12.3%
Pair of 5's
61.0%
40.7%
29.5%
20.3%
14.9%
12.9%
A/8 unsuited
61.4%
42.3%
31.8%
21.4%
15.6%
12.2%
Q/7 suited
56.1%
38.3%
29.5%
21.1%
16.2%
13.6%
8/7 suited
50.2%
35.7%
28.3%
20.9%
16.4%
14.0%
10/9 unsuited
53.3%
37.4%
29.3%
21.0%
15.7%
12.9%
K/4 suited
56.9%
38.6%
29.5%
21.2%
16.4%
13.8%
Q/9 unsuited
56.9%
39.2%
30.0%
20.8%
15.3%
12.1%
10/7 suited
52.6%
36.5%
28.6%
20.9%
16.3%
13.8%
9/7 suited
51.2%
36.0%
28.3%
20.7%
16.2%
13.8%
J/7 suited
54.2%
37.2%
28.8%
20.8%
16.1%
13.5%
J/9 unsuited
54.9%
38.1%
29.5%
20.7%
15.3%
12.4%
Q/6 suited
55.6%
37.7%
28.9%
20.6%
15.9%
13.3%
K/3 suited
56.0%
37.8%
28.8%
20.6%
16.1%
13.5%
Q/5 suited
54.8%
36.9%
28.2%
20.4%
15.6%
13.1%
A/7 unsuited
60.5%
41.3%
30.8%
20.6%
14.9%
11.7%
K/2 suited
55.2%
36.9%
28.1%
20.1%
15.7%
13.2%
A/5 unsuited
59.7%
40.5%
30.3%
20.5%
15.1%
12.0%
Pair of 4's
57.8%
37.4%
26.9%
18.9%
14.3%
12.6%
7/6 suited
47.9%
33.9%
26.7%
19.7%
15.7%
13.5%
8/6 suited
48.7%
33.9%
26.6%
19.5%
15.4%
13.2%
Q/4 suited
53.9%
36.1%
27.4%
19.7%
15.2%
12.7%
A/4 unsuited
58.7%
39.5%
29.4%
19.2%
14.6%
11.6%
6/5 suited
45.9%
32.2%
25.4%
19.3%
15.1%
13.1%
K/8 unsuited
57.6%
38.8%
28.9%
19.4%
14.0%
11.0%
10/6 suited
51.1%
34.6%
26.8%
19.4%
15.0%
12.7%
A/6 unsuited
59.4%
40.0%
29.7%
19.7%
14.4%
11.4%
9/6 suited
49.7%
34.1%
26.5%
19.2%
15.0%
12.7%
J/6 suited
52.6%
35.3%
27.0%
19.3%
14.9%
12.6%
J/5 suited
52.2%
34.8%
26.5%
19.3%
14.7%
12.3%
Q/3 suited
53.1%
35.2%
26.7%
19.1%
14.8%
12.4%
10/8 unsuited
51.6%
35.3%
27.1%
19.0%
14.1%
11.5%
7/5 suited
46.4%
32.1%
25.1%
18.9%
14.7%
12.7%
Q/8 unsuited
55.3%
37.1%
27.8%
18.9%
13.6%
10.8%
A/3 unsuited
57.8%
38.5%
28.5%
19.3%
14.2%
11.2%
J/8 unsuited
53.3%
35.9%
27.3%
18.8%
13.7%
10.9%
9/8 unsuited
50.1%
34.6%
26.7%
18.7%
13.7%
11.2%
Q/2 suited
52.2%
34.4%
26.0%
18.6%
14.5%
12.2%
5/4 suited
44.4%
31.0%
24.3%
18.6%
14.7%
12.9%
K/7 unsuited
57.0%
38.0%
28.1%
18.8%
13.5%
10.5%
8/5 suited
47.1%
32.1%
24.9%
18.4%
14.2%
12.2%
Pair of 3's
54.6%
34.3%
24.6%
17.3%
13.8%
12.3%
J/4 suited
51.3%
34.0%
25.8%
18.5%
14.3%
12.0%
10/5 suited
49.5%
32.8%
25.1%
18.3%
14.0%
11.8%
9/5 suited
48.1%
32.2%
24.8%
18.1%
13.8%
11.7%
A/2 unsuited
56.9%
37.5%
27.6%
18.5%
13.5%
10.7%
J/3 suited
50.4%
33.1%
25.1%
18.0%
13.9%
11.7%
K/6 unsuited
56.2%
37.0%
27.3%
18.1%
13.0%
10.2%
6/4 suited
44.2%
30.4%
23.7%
17.4%
14.1%
12.2%
J/2 suited
49.6%
32.3%
24.4%
17.4%
13.6%
11.5%
10/4 suited
48.9%
32.2%
24.5%
17.6%
13.6%
11.5%
5/3 suited
42.6%
29.2%
22.7%
17.3%
13.7%
12.0%
8/7 unsuited
47.4%
32.3%
24.8%
17.2%
12.8%
10.6%
Pair of 2's
51.3%
31.4%
22.5%
16.1%
13.5%
12.2%
K/5 unsuited
55.4%
36.2%
26.5%
17.5%
12.7%
9.9%
7/4 suited
44.6%
30.2%
23.4%
17.0%
13.5%
11.6%
9/7 unsuited
48.5%
32.6%
24.8%
17.1%
12.5%
10.2%
10/7 unsuited
50.0%
33.2%
25.0%
17.2%
12.6%
10.2%
10/3 suited
48.0%
31.4%
23.8%
17.1%
13.3%
11.2%
Q/7 unsuited
53.6%
35.0%
25.8%
17.2%
12.2%
9.6%
J/7 unsuited
51.6%
33.9%
25.2%
17.0%
12.2%
9.7%
K/4 unsuited
54.4%
35.2%
25.7%
17.1%
12.2%
9.6%
8/4 suited
45.3%
30.2%
23.1%
16.6%
13.0%
11.0%
10/2 suited
47.1%
30.6%
23.1%
16.6%
13.0%
11.0%
9/4 suited
46.3%
30.4%
23.0%
16.4%
12.7%
10.7%
Q/6 unsuited
53.1%
34.3%
25.1%
16.6%
11.8%
9.3%
6/3 suited
42.4%
28.6%
22.0%
16.0%
12.9%
11.1%
K/3 unsuited
53.5%
34.3%
24.8%
16.5%
11.8%
9.3%
4/3 suited
41.6%
28.3%
21.9%
16.0%
13.1%
11.4%
7/6 unsuited
45.0%
30.4%
23.1%
16.1%
12.1%
10.1%
9/3 suited
45.7%
29.8%
22.6%
16.0%
12.4%
10.4%
5/2 suited
40.8%
27.3%
21.0%
15.8%
12.5%
10.8%
8/6 unsuited
45.8%
30.4%
23.0%
15.8%
11.7%
9.7%
Q/5 unsuited
52.3%
33.5%
24.4%
16.0%
11.5%
9.0%
7/3 suited
42.8%
28.3%
21.6%
15.5%
12.3%
10.5%
9/2 suited
44.9%
29.0%
21.9%
15.6%
12.0%
10.2%
K/2 unsuited
52.6%
33.3%
24.1%
15.9%
11.4%
9.0%
9/6 unsuited
46.9%
30.6%
22.8%
15.5%
11.2%
9.1%
8/3 suited
43.5%
28.3%
21.4%
15.3%
11.9%
10.1%
10/6 unsuited
48.3%
31.2%
23.0%
15.5%
11.2%
9.0%
6/5 unsuited
42.9%
28.7%
21.7%
15.3%
11.5%
9.7%
Q/4 unsuited
51.3%
32.6%
23.5%
15.6%
11.0%
8.7%
J/6 unsuited
50.0%
31.9%
23.2%
15.3%
10.9%
8.7%
8/2 suited
42.9%
27.7%
20.9%
14.9%
11.6%
9.8%
4/2 suited
39.7%
26.5%
20.3%
14.7%
12.1%
10.5%
6/2 suited
40.5%
26.7%
20.3%
14.6%
11.6%
10.0%
7/5 unsuited
43.3%
28.5%
21.4%
14.8%
11.1%
9.3%
Q/3 unsuited
50.4%
31.6%
22.8%
15.0%
10.6%
8.4%
J/5 unsuited
49.5%
31.3%
22.7%
14.9%
10.6%
8.4%
5/4 unsuited
41.2%
27.4%
20.6%
14.8%
11.1%
9.5%
7/2 suited
40.9%
26.4%
20.0%
14.2%
11.2%
9.5%
3/2 suited
38.9%
25.6%
19.5%
14.0%
11.5%
9.9%
Q/2 unsuited
49.5%
30.7%
22.0%
14.4%
10.3%
8.1%
8/5 unsuited
44.1%
28.5%
21.1%
14.3%
10.5%
8.6%
J/4 unsuited
48.5%
30.6%
21.9%
14.4%
10.2%
8.1%
9/5 unsuited
45.2%
28.6%
20.9%
13.9%
10.0%
8.0%
10/5 unsuited
46.7%
29.2%
21.2%
14.0%
10.1%
8.1%
6/4 unsuited
41.0%
26.8%
19.9%
13.7%
10.4%
8.8%
J/3 unsuited
47.6%
29.4%
21.1%
13.8%
9.8%
7.8%
10/4 unsuited
46.0%
28.6%
20.6%
13.6%
9.7%
7.7%
5/3 unsuited
39.4%
25.5%
18.9%
13.3%
10.0%
8.5%
J/2 unsuited
46.7%
28.6%
20.4%
13.3%
9.5%
7.5%
7/4 unsuited
41.4%
26.5%
19.5%
13.2%
9.7%
8.1%
10/3 unsuited
45.0%
27.7%
19.8%
13.0%
9.3%
7.4%
8/4 unsuited
42.2%
26.4%
19.2%
12.7%
9.1%
7.4%
10/2 unsuited
44.1%
26.8%
19.1%
12.5%
8.9%
7.1%
9/4 unsuited
43.3%
26.6%
19.1%
12.4%
8.8%
7.0%
4/3 unsuited
38.2%
24.5%
18.0%
12.3%
9.4%
7.9%
6/3 unsuited
39.1%
24.7%
18.1%
12.1%
9.1%
7.6%
9/3 unsuited
42.6%
26.0%
18.5%
12.0%
8.4%
6.6%
5/2 unsuited
37.4%
23.4%
17.0%
11.7%
8.7%
7.3%
7/3 unsuited
39.5%
24.5%
17.6%
11.6%
8.4%
6.9%
9/2 unsuited
41.7%
25.1%
17.8%
11.4%
8.0%
6.4%
8/3 unsuited
40.2%
24.4%
17.4%
11.2%
8.0%
6.4%
8/2 unsuited
39.6%
23.8%
16.8%
10.8%
7.6%
6.1%
4/2 unsuited
36.1%
22.6%
16.3%
10.7%
8.3%
7.0%
6/2 unsuited
37.1%
22.7%
16.2%
10.5%
7.8%
6.4%
3/2 unsuited
35.4%
21.6%
15.4%
10.1%
7.7%
6.4%
7/2 unsuited
37.5%
22.4%
15.8%
10.1%
7.3%
5.9%


    

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