Mathematics for Computer Science

(avery) #1

Chapter 18 Random Variables760


you guess
right?

Eric guesses
right?

no

yes

no

yes

1=2


1=2


1=2


1=2


1=2


1=2


yes 0

no 1

yes 1

no 0

yes 0

no 1

yes 1

no 0

yes

no

your
payoff

$0


$1


$1


$4


�$2


�$2


�$2


$0


probability

0


1=4


1=4


0


0


1=4


1=4


0


Nick guesses
right?

Figure 18.7 The revised tree diagram reflecting the scenario where Nick always
guesses the opposite of Eric.

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