# The Maths Behind Logistic Regression

Let’s have a look at this god-tier math puzzle. Only one out of seven gets it right, and the other six don’t. So, what are the odds for solving it correctly? 1 to 6. Generally, if $$p$$ is the probability that someone will get it right, then his/her odds are $$p/(1-p)$$.
However, it isn’t necessarily true that $$p=1/7$$ for every person because some people are smarter, some have better education and so on. Hence, $$p$$ also depends on the person attempting the puzzle. In a Bayesian framework, we capture this dependence with conditional probability.