Mathematics for Computer Science

Chapter 18 Random Variables758

you guess

right?

Eric guesses

right?

no

yes

no

yes

1=2

1=2

1=2

1=2

1=2

1=2

yes 1=2

no 1=2

yes 1=2

no 1=2

yes 1=2

no 1=2

yes 1=2

no 1=2

yes

no

your

payoff

$0

$1

$1

$4

�$2

�$2

�$2

$0

probability

1=8

1=8

1=8

1=8

1=8

1=8

1=8

1=8

Nick guesses

right?

Figure 18.6 The tree diagram for the game where three players each wager $2
and then guess the outcome of a fair coin toss. The winners split the pot.