$16.$ from math import log$2$

def entropy$($class$\_$counts$)$:

total$\_$instances $=$ sum$($class$\_$counts$)$

return sum$([-$count $/$ total$\_$instances $*$ log$2($count $/$ total$\_$instances$)$ for count in class$\_$counts if count $!=0])$

# Overall entropy before splitting

entropy$\_$before $=$ entropy$([6,4])$

# Entropy of each group after splitting

entropy$\_$group$1=$ entropy$([2,1])$

entropy$\_$group$2=$ entropy$([4,3])$

# Proportion of instances in each group

proportion$\_$group$1=3/10$

proportion$\_$group$2=7/10$

# Overall entropy after splitting

entropy$\_$after $=$ proportion$\_$group$1*$ entropy$\_$group$1+$ proportion$\_$group$2*$ entropy$\_$group$2$

# Information gain from the split

information$\_$gain $=$ entropy$\_$before $-$ entropy$\_$after

information$\_$gain

Ans$-0\mathrm{.}0058021490143456145$