I have a question as below: Let there be 3 groups of people, Group A (60%), B(25%), and C(15%) of the whole population. What is the expected probability that a person from Group A will randomly meet a person from Group A, Group B, and Group C, respectively?
I came up with this question in a social study I am doing recently. I'm not a mathematician, so what I thought is quite simple but I am not sure if it is correct. Please provide your opinion, and do feel free to make assumptions or conditions for solving the question if it is neccessary.