The entries in a 2X2 determinant ∣∣∣abcd∣∣∣ are integers chosen randomly and independently, and for each entry, the probability that the entry is odd is p. If the probability that value of determinant is even is12, then find the value of p

The entries in a 2X2 determinant ∣∣∣abcd∣∣∣ are integers c

1.	The entries in a 2X2 determinant ∣∣∣abcd∣∣∣ are integers chosen randomly and independently, and for each entry, the probability that the entry is odd is p. If the probability that value of determinant is even is12, then find the value of p
Answer» The entries in a $2 X 2$ determinant $∣ ∣ ∣ \begin{matrix} a & b c & d \end{matrix} ∣ ∣ ∣$ are integers chosen randomly and independently, and for each entry, the probability that the entry is odd is $p$ . If the probability that value of determinant is even is $\frac{1}{2}$ , then find the value of $p$