52% of the students at a certain college are females. 5% of the students are majoring in
computer science. 2% of the students are females majoring in computer science. If a student is chosen randomly, find the probability that-

(a) This student is female, given that the student is majoring in computer science;

(b) This student is majoring in computer science, given that the student is female.

Question

52% of the students at a certain college are females. 5% of the students are majoring in 
computer science. 2% of the students are females majoring in computer science. If a student is chosen randomly, find the probability that-

(a) This student is female, given that the student is majoring in computer science;

(b) This student is majoring in computer science, given that the student is female.

anonymous · Answer

@sirm3d

anonymous · Answer

out of 100 students, 52 female, 48 male
5 Studies Computer Science whereas 2 of them are females...

do i draw a ven diagram?

sirm3d · Answer

|dw:1361688851137:dw|
this will aid you answer those questions.

anonymous · Answer

great! XD 
using P[F|CS] and P[CS|F]

sirm3d · Answer

as for (a), given that the student is majoring in CS
|dw:1361689085056:dw|

sirm3d · Answer

as for (b), |dw:1361689155031:dw|

anonymous · Answer

awesome! Thanks again sirm3d! :)

sirm3d · Answer

yw