A Fair Die Is Rolled B) C) D) E)

Multiple Choice

A fair die is rolled. Let the random variable X denote the number that falls bottommost on the die. Find the probability distribution of X.

A) $\begin{array} { l } x & 1 & 2 & 3 & 4 & 5 & 6\\P ( X = x ) & \frac { 1 } { 12 } & \frac { 1 } { 6 } &\frac { 1 } { 4 }& \frac { 1 } { 4 } &\frac { 1 } { 6} &\frac { 1 } { 12 } \\\end{array}$
B) $\begin{array} { l } x & 1 & 2 & 3 & 4 & 5 & 6\\P ( X = x ) &\frac { 1 } { 12 } &\frac { 1 } { 12 }& \frac { 1 } { 3 } & \frac { 1 } { 6 } & \frac { 1 } { 12 } & \frac { 1 } { 12 } \\\end{array}$

C) $\begin{array} { l } x & 1 & 2 & 3 & 4 & 5 & 6\\P ( X = x ) &\frac { 1 } { 6 } &\frac { 1 } { 6 }& \frac { 1 } { 6 } & \frac { 1 } { 6 } & \frac { 1 } { 6} & \frac { 1 } { 6 } \\\end{array}$

D) $\begin{array} { l } x & 1 & 2 & 3 & 4 & 5 & 6\\P ( X = x ) &\frac { 1 } { 12 } &\frac { 1 } { 12 } & \frac{ 1 } { 12 } &\frac { 1 } { 12 } & \frac { 1 } { 12 } & \frac { 1 } { 12 } \\\end{array}$

E) $\begin{array} { l } x & 1 & 2 & 3 & 4 & 5 & 6\\P ( X = x ) &\frac { 1 } { 3 } &\frac { 1 } { 3 } & \frac{ 1 } { 3 } &\frac { 1 } {3} & \frac { 1 } { 3 } & \frac { 1 } { 3 } \\\end{array}$