12. A fair die is rolled. The probability that the first time 1 occurs at the even throw is: (a) $1 / 6$ ... Powered By IITians (b) $5 / 11$ (c) $6 / 11$ (d) $5 / 36$
Let $A = \left[ \begin{array} { c c c } 1 & 0 & 0 \\ 0 & 1 & 1 \\ 0 & - 2 & 4 \end{array} \right]$. Suppose $A ^ { - 1 } = \frac { 1 } { 6 } \left( A ^ { 2 } + c A + d I \right)$ where $I$ is the
12. A fair die is rolled. The probability that the first time 1 occurs at the even throw is:\\
(a) $1 / 6$\\
... Powered By IITians\\
(b) $5 / 11$\\
(c) $6 / 11$\\
(d) $5 / 36$\\