If there are two independent events with two outcomes, and let's say one outcome has the probability of $A$%, is the probability of the union of the outcome (with the known probability) and one outcome of the other event also $A$%? Or less? Or greater? Or in proportion to the % of the unknown outcome?
Here's an example: There's a kindergarten with graduation rate $92$%. The gender and the graduation rate are independent. What is the graduation rate of female students graduating?
Please help. I think it's $92$%, but I'm not so sure. Thank you!