Hi!
I have a question about probablility. I don't know what the name of this type of statistics is, but here goes:
John has three exams coming up, one in Math, one in Physics and one in Biology. He thinks his chances of passing are 0.8 for Math, 0.7 for Physics and 0.3 for Biology. His result on each exam is independent of the others.
a) What is the probablility that he passes at least two of the exams?
b ) Given that he has passed two of the exams, what is the probability that he has passed the exam in Math.
I would love some help with this, either in the form of a direction to online pages that has examples of this kind of problems with solutions, or if you could aid me with what type of formula I could use. (Sorry, might be writing in "Swenglish" here, but I hope I hope you understand what I mean.)
The way I see it there are three possible ways he could pass two exams (M+P, M+B and P+B ). Could I for example multiply the probabilility M*P*B-complement (and for the other two respectively, and then add the answers toghether (for a))?
Any help would be much appreshiated!