Probability of Y=0
\(X\) and \(Y\) are independent random variables. It is given that \( P(X=0)= 0.15\), \(P(\max(X, Y) = 0) = 0.23\) and \(P (\min(X,Y)=0) = 0.19\). Let \( p = P (Y=0)\). What is the value of \( \lfloor 1000 p \rfloor \)?
Details and assumptions
The function \( \max(X,Y) \) denotes the maximum of \(X\) and \(Y\). As an explicit example, \( \max(1, 2) = 2 \).