MCQ
A rectangular parallelopiped is formed by planes drawn through the point $(5, 7, 9)$ and $(2, 3, 7)$ parallel to the coordinate planes. The length of an edge of this rectangular parallelopiped is:
- A$2$
- B$3$
- C$4$
- ✓all of these
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$E_1=\{A \in S: \operatorname{det} A=0\} \text { and }$ $E_2=\{A \in S: \text { sum of entries of } A \text { is } 7\}.$ If a matrix is chosen at random from $S$, then the conditional probability $P\left(E_1 \mid E_2\right)$ equals. . . . . . . .