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

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