Numerade

$Refer to the following table. $$ \begin{array}{|lcccc|} \hline & {\text { First Event }} & \\ { } \text { Second Event } & \boldsymbol{A}_{1} & \boldsymbol{A}_{2} & \boldsymbol{A}_{3} & \text { Total } \\ \hline B_{1} & 2 & 1 & 3 & 6 \\ B_{2} & \frac{1}{3} & \frac{2}{3} & -\frac{1}{4} & \frac{4}{10} \\ \hline \text { Total } & 3 & 3 & 4 & 10 \\ \hline \end{array} $$ a. Determine $P\left(A_{1}\right)$. b. Determine $P\left(B_{1} \mid A_{2}\right)$. c. Determine $P\left(B_{2}\right.$ and $A_{3}$ ).$

Refer to the following table. $$ \begin{array}{|lcccc|} \hline & {\text { First Event }} & \\ { } \text { Second Event } & \boldsymbol{A}_{1} & \boldsymbol{A}_{2} & \boldsymbol{A}_{3} & \text { Total } \\ \hline B_{1} & 2 & 1 & 3 & 6 \\ B_{2} & \frac{1}{3} & \frac{2}{3} & -\frac{1}{4} & \frac{4}{10} \\ \hline \text { Total } & 3 & 3 & 4 & 10 \\ \hline \end{array} $$ a. Determine $P\left(A_{1}\right)$. b. Determine $P\left(B_{1} \mid A_{2}\right)$. c. Determine $P\left(B_{2}\right.$ and $A_{3}$ ).

Nicko V.