odds ratio to proability


Let's say I have an odds ratio from logistic regression that's 1.4:1 for males:females. How can I get probabilities back out of this?

The formula for odds ratio is \(\frac{\frac{p_1}{1-p_1}}{\frac{p_2}{1-p_2}}\)


Ambassador to the humans
You can't. Not without more information. Right now you have one data point (1.4:1) and you want to solve for two quantities (p1 and p2) so you'll need more information.