What is the expected information gain if we select Outlook as the root node of the tree?

Solution: Testing Outlook yields three branches:

$$Outlook

$=$

$\{$

S

u

n

n

y

$2$

$+$

$3$

$-$

$5$

t

o

t

a

l

O

v

e

r

c

a

s

t

$4$

$+$

$0$

$-$

$5$

t

o

t

a

l

R

a

i

n

$3$

$+$

$2$

$-$

$5$

t

o

t

a

l