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Roommate probability IA


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As I attend an international boarding school, students always share a room with someone from another region. (Europe, North America, Latin-America and the Caribbean, Africa, Middle East & Indian Subcontinent, Far East Asia. 

Grade 11 always share a room with a person in grade 12. One cannot get someone from your own region, and not twice the same. 

I am going to calculate the probability of every combination in the two years, for a person representing Europe. Options are for example: North America-Africa or Middle East &Indian Subcontinent and Latin-America and the Caribbean. 

I feel that just the calculations with independent probability and a tree diagram is too easy for math SL. Does anyone have any suggestions? :)




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