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