Question

What is the probability that a randomly chosen student is majoring in biology given that he is a male? Round the answer to the nearest hundredth of a percent.

Answer 1

We have to calculate the conditional probabilty that a student is majoring in biology, given that is male.

We can write this as:

`P(\text{Biology}|\text{Male)}=\frac{P(\text{Male \& Biology)}}{P(\text{Male)}}=(40)/(40+16+35)=(40)/(91)\approx0.4396`

Answer: the probability that a students majoring in biology, given that is male, is P=0.4396 or 43.96%.