Give the Probability Distribution for the Indicated Random Variable A) $\begin{array} { l } x & 0 & 3& 6 \\P ( X = x ) &\frac { 1 } { 4 } &\frac { 1 } { 4 } & \frac{ 1 } { 2 } \\\end{array}$

Multiple Choice

Give the probability distribution for the indicated random variable.
A black and white die are rolled, and consider the following random variable.
$X = \left\{ \begin{array} { l } 0 , \text { if both numbers are odd } \\3 , \text { if one number is odd and one is even } \\6 , \text { if both numbers are even }\end{array} \right.$

A) $\begin{array} { l } x & 0 & 3& 6 \\P ( X = x ) &\frac { 1 } { 4 } &\frac { 1 } { 4 } & \frac{ 1 } { 2 } \\\end{array}$
B) $\begin{array} { l } x & 0 & 3& 6 \\P ( X = x ) &\frac { 2 } { 3} &\frac { 1 } { 6 } & \frac{ 1 } { 6 } \\\end{array}$

C) $\begin{array} { l } x & 0 & 3& 6 \\P ( X = x ) &\frac { 1 } { 3 } &\frac { 1 } { 3 } & \frac{ 1 } { 3 } \\\end{array}$
D) $\begin{array} { l } x & 0 & 3& 6 \\P ( X = x ) &\frac { 1 } { 2 } &\frac { 1 } { 4 } & \frac{ 1 } { 4 } \\\end{array}$

E) $\begin{array} { l } x & 0 & 3& 6 \\P ( X = x ) &\frac { 1 } { 4 } &\frac { 1 } {2 } & \frac{ 1 } { 4 } \\\end{array}$