We have to calculate the conditional probabilty that a student is majoring in biology, given that is male.
We can write this as:
[tex]P(\text{Biology}|\text{Male)}=\frac{P(\text{Male \& Biology)}}{P(\text{Male)}}=\frac{40}{40+16+35}=\frac{40}{91}\approx0.4396[/tex]
Answer: the probability that a students majoring in biology, given that is male, is P=0.4396 or 43.96%.
