Question

one hundred clients of a registered tax agent fall into the cayegories of personal (25 male ,30 female), corporate (10 male, 15 female) and small business (8 male, 12 female).The agent selects a client at random to begin work, find the probability that the client chosen is (a) male but not personal.
(b)personal but not male

Answer 1

Personnel, not personal
male but not personnel ----> 10 from corporate + 8 from small business
= 18 males
Prob(male but not personnel) = 18/(55+25+20) = 9/50

Personnel, but not male ---> females from personnel = ....

go for it.

Answer 2

Thanks I got it