My close friend found out he had cancer and then received treatments.
Based on medical studies (I found in medical journals), I was able to find out that only 5% of the patients with this one condition/test scores (A) experienced recurrence. I was also able to find out results from a different study that looked at a different condition (B). These results showed that recurrences was experienced in 10% of these patients with condition B (these results are from a separate medical studies that just reported on recurrence rates of patients from the 2 separate tests/conditions).
These 2 conditions probably have very high levels of correlation, but can be exclusive. You can have one without the other (working both ways).
Given that he has both conditions (Group A with 5% AND Group B with 10%), what is the overall probability of the cancer coming back based just on these 2 variables? Is it (0.05 X 0.10) = 0.005? or is it something else?
I understand there are a lot of other variables involved, but from a statistical point of view based on just these 2 probabilities that i know of... how would i calculate the overall probability of the cancer coming back?