Answer
$0.46=46\%$
Work Step by Step
$P(Humanities)=0.40$
$P(Natural~Science)=0.10$
$P(History)=0.30$
$P(Social~Science)=0.20$
$P(Male~|~Humanities)=1-P(Female~|~Humanities)=1-0.60=0.40$
$P(Male~|~Natural~Science)=1-P(Female~|~Natural~Science)=1-0.15=0.85$
$P(Male~|~History)=1-P(Female~|~History)=1-0.45=0.55$
$P(Male~|~Social~Science)=1-P(Female~|~Social~Science)=1-0.75=0.25$
$P(Male)=P(Male~|~Humanities)P(Humanities)+P(Male~|~Natural~Science)P(Natural~Science)+P(Male~|~History)P(History)+P(Male~|~Social~Science)P(Social~Science)=0.40\times0.40+0.85\times0.10+0.55\times0.30+0.25\times0.20=0.46$
