A) 3/16
B) 3/8
C) 1/4
D) None of these
Correct Answer: A
Solution :
\[n=\]total number of ways \[={{2}^{4}}=16\] \[m=\]Favourable number of ways \[=3\] Since the value of determinant is positive when it is \[\left| \,\begin{matrix} 1 & 0 \\ 0 & 1 \\ \end{matrix}\, \right|,\,\,\left| \,\begin{matrix} 1 & 0 \\ 1 & 1 \\ \end{matrix}\, \right|,\,\,\left| \,\begin{matrix} 1 & 1 \\ 0 & 1 \\ \end{matrix}\, \right|\]. Hence required probability \[=\frac{3}{16}\].
You need to login to perform this action.
You will be redirected in
3 sec
