MCQ
$\int_{-1}^1 \sin ^7 x \cdot \cos ^6 x d x=$ ___________ .
- A$-1$
- B2
- ✓$0$
- D1
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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. . . . . . . .