I'm trying to model a system given as a project, any help or advice is useful for now.
Here our assumptions for a part of it:
- If I study for the finals and do assignments, I have $80\%$ chance to get a scholarship
- If I neither do assignments nor study, my chance reduces to $20\%$
- If I either do the assignments or study for the final, I have $60\%$ chance to get a scholarship.
- The chance that I will do assignments or study are both $50\%$.
So, given that I got the scholarship what is the probability that I have did the assignments?