Table 1 Examples of the probability pair A wins a hole and a match of 4BBB golf. |
| Example |
pij values
A is the first team
B is the second |
Probability pair A
wins, squares,
loses a hole |
Probability pair A wins,
squares, loses an 18 holes match |
Probability pair A
wins, loses an 18
holes match, after
play-off |
| 1 |
{(0.2,0.6,0.2),(0.2,0.6,0.2)}
{(0.2,0.6,0.2),(0.2,0.6,0.2)} |
0.2544, 0.4912, 0.2544 |
0.4346, 0.1309, 0.4346 |
0.5000, 0.5000 |
| 2 |
{(0.25,0.5,0.25),(0.25,0.5,0.25)}
{(0.2,0.6,0.2),(0.2,0.6,0.2)} |
0.3000, 0.4600, 0.2400 |
0.5752, 0.1197, 0.3051 |
0.6417, 0.3583 |
| 3a |
{(0.19,0.81,0.0),(0.2,0.6,0.2)}
{(0.19,0.81,0.0),(0.19,0.81,0.0)} |
0.2309, 0.5462, 0.2228 |
0.4508, 0.1387, 0.4105 |
0.5214, 0.4786 |
| 3b |
{(0.2,0.6,0.2),(0.19,0.81,0.0)}
{(0.2,0.6,0.2),(0.2,0.6,0.2)} |
0.2512, 0.5155, 0.2333 |
0.4765, 0.1334, 0.3901 |
0.5456, 0.4544 |
| 3c |
{(0.21,0.58,0.21),(0.21,0.79,0.0)}
{(0.19,0.81,0.0),(0.21,0.79,0.0)} |
0.2405, 0.5347, 0.2247 |
0.4706, 0.1364, 0.3930 |
0.5412, 0.4588 |
| 3d |
{(0.19,0.81,0.0),(0.2,0.6,0.2)}
{(0.21,0.58,0.21),(0.2,0.6,0.2)} |
0.2497, 0.5119, 0.2385 |
0.4603, 0.1334, 0.4063 |
0.5285, 0.4715 |
| 4a |
{(0.3,0.5,0.2),(0.1,0.7,0.2)}
{(0.2,0.6,0.2),(0.2,0.6,0.2)} |
0.2604,0.4888, 0.2508 |
0.4574, 0.1306, 0.4123 |
0.5238, 0.4762 |
| 4b |
{(0.3,0.6,0.1),(0.1,0.6,0.3)}
{(0.2,0.6,0.2),(0.2,0.6,0.2)} |
0.2608, 0.4944, 0.2448 |
0.4724, 0.1307, 0.3969 |
0.5398, 0.4602 |
| 4c |
{(0.3,0.4,0.3),(0.1,0.8,0.1)}
{(0.2,0.6,0.2),(0.2,0.6,0.2)} |
0.2608, 0.4944, 0.2448 |
0.4724, 0.1307, 0.3969 |
0.5398, 0.4602 |
| 4d |
{(0.3,0.6,0.1),(0.1,0.7,0.2)}
{(0.2,0.6,0.2),(0.2,0.6,0.2)} |
0.2612, 0.5000, 0.2388 |
0.4877, 0.1309, 0.3814 |
0.5560, 0.4440 |
| 4e |
{(0.3,0.6,0.1),(0.1,0.8,0.1)}
{(0.2,0.6,0.2),(0.2,0.6,0.2)} |
0.2616, 0.5056, 0.2328 |
0.5031, 0.1309, 0.3660 |
0.5724, 0.4276 |
| 4f |
{(0.3,0.6,0.1),(0.1,0.9,0.0)}
{(0.2,0.6,0.2),(0.2,0.6,0.2)} |
0.2620, 0.5112, 0.2268 |
0.5187, 0.1307, 0.3506 |
0.5888, 0.4112 |
|
|