# 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, $$\max(1, 2) = 2$$.

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