How to solve this probability question?

Question

The members of a private club are divided into two groups, Barisan and Pakatan. Group Barisan consists of 80 men and 160 women whereas Group Pakatan consists of 200 men and 120 women. A member is chosen at random from the club to take part in a golf tournament. If the member comes from the Barisan Group, a second member is randomly chosen from the Pakatan Group and vice versa. Find the probability that

(i) the first member chosen is a member of the Barisan Group.

(ii) the second member chosen is a woman.

(iii) if the second member chosen is a man, he is a member of the Barisan Group.

Answer 1

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