Obtain the Probability Distribution of the Random Variable $\mathrm { X }$

Multiple Choice

Obtain the probability distribution of the random variable.
-When a coin is tossed four times, sixteen equally likely outcomes are possible as shown below: HHHH HHHT HHTH HHTT
HTHH HTHT HTTH HTTT
THHH THHT THTH THTT
TTHH TTHT TTTH TTTT
Let $\mathrm { X }$ denote the total number of tails obtained in the four tosses. Find the probability distribution of the random variable X. Leave your probabilities in fraction form.

A)
$\begin{array}{r|r}x & P(X=x) \\\hline 0 & 1 / 16 \\1 & 1 / 8 \\2 & 3 / 8 \\3 & 1 / 8 \\4 & 1 / 16\end{array}$

B)
$\begin{array}{l|r}x & P(X=x) \\\hline 0 & 1 / 16 \\1 & 3 / 16 \\2 & 1 / 2 \\3 & 3 / 16 \\4 & 1 / 16\end{array}$

C)
$\begin{array}{r|r}x & P(X=x) \\\hline 0 & 1 / 16 \\1 & 1 / 4 \\2 & 3 / 8 \\3 & 1 / 4 \\4 & 1 / 16\end{array}$

D)
$\begin{array}{r|r}x & P(X=x) \\\hline 1 & 1 / 4 \\2 & 7 / 16 \\3 & 1 / 4 \\4 & 1 / 16\end{array}$