I am currently studying Statistical Inference class on Coursera. In one of the assignments, the following question comes up.

Let x=0 represent a
| 'heads' outcome and x=1 represent a 'tails' outcome of a coin toss. If p is the
| probability of 'heads' which of the following represents the PMF of the coin toss?  The
| variable x is either 0 (heads) or 1 (tails).



1: (p^(1-x))*(1-p)^x
2: (p^x)*(1-p)^(1-x)

while solving it gave *hint to choose option when head exponent is 1 so correct option was 1*

**if it said p is probability of tail which following represent the PMF of the coin toss will answer change**



pmf ---- is it for independent event only