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## Homework Statement

The problem goes like this. I have two parameters A and B, both which can only be true or false ( booleans ). Then, the only information I have is that for x events for which A is true, B is also true y times. My question then is, what is the most I can get out of these two numbers ( x and y)?

Ideally I would like to know what is the probability of B begin true, given that A is true.I know I can calculate the conditional probability of B being true given that A is true, which in this case is simply y/x. But how can I classify a probability in this case as "high" or "low". What statistics can I further apply knowing only these two numbers to get as much more conclusions about the parameters as possible. I would like to know if they are independent, or dependent, or correlated ( if possible, and to what degree ).

Any kind of help is very much appreciated.

Thank you,