Page 206 - Probability Demystified
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CHAPTER 11 Game Theory 195
25s þ 75ð1 sÞ¼ 90s 50ð1 sÞ
25s þ 75 75s ¼ 90s 50 þ 50s
100s þ 75 ¼ 140s 50
100s 140s þ 75 ¼ 140s 140s 50
240s þ 75 ¼ 50
240s þ 75 75 ¼ 50 75
240s ¼ 125
240s 125
¼
240 240
25
s ¼
48
Hence, General B should defend by land with a probability of 25 and by
48
sea with a probability of 23 . A tree diagram for this problem is shown
48
in Figure 11-4.
Fig. 11-4.
A payoff table can also consist of probabilities. This type of problem is
shown in the next example.
