Let S be the sample space of all 3×3 matrices with entries from the set {0,1}. Let the events E1 and E2 be given by E1={A∈S:detA=0} and E2={A ∈S: sum of entries of A is 7} If the matrix is chosen at random from S, then the conditional probability P(E1|E2) equals

Let S be the sample space of all 3×3 matrices with entries from the s

1.	Let S be the sample space of all 3×3 matrices with entries from the set {0,1}. Let the events E1 and E2 be given by E1={A∈S:detA=0} and E2={A ∈S: sum of entries of A is 7} If the matrix is chosen at random from S, then the conditional probability P(E1\|E2) equals
Answer» Let $S$ be the sample space of all $3 \times 3$ matrices with entries from the set {0,1}. Let the events $E_{1}$ and $E_{2}$ be given by $E_{1} = {A \in S : d e t A = 0}$ and $E_{2} =$ {A $\in S :$ sum of entries of $A$ is $7$ } If the matrix is chosen at random from $S,$ then the conditional probability $P (E_{1} \| E_{2})$ equals