Binary dependent variables

• For binary dependent variables we are interested in the probability of one outcome versus another: 0-1 range or 0-$n$ range for $n$ chances
• Binary dependent variables have a binomial distribution that depends on the number of trials and the probability of a ``yes'' in any single trial
  
  $$P(Y=y)=\frac{N!}{y!(N-y)!}\pi^y(1-\pi)^{N-y}$$