1.in a factory, 85% of female workers are not union members, and only 15% of male workers

are not union member. if the number of female workers is two times more than male

workers. in a random selection, what is the probability of selecting an employee; (draw a

tree diagram or contingency table to assist you in understanding better the problem)

is not a union member

(2 marks)

is male and not a union member

(2 marks)

is a male worker if the one that we selected is non-union member

(4 marks)

(iii)

(iv)

are union member and non-union member mutually exclusive events? prove.

(2 marks)

(v)

are male worker and non-union member mutually exclusive events? prove.

(2 marks)