Probability of Y=0

XX and YY are independent random variables. It is given that P(X=0)=0.15 P(X=0)= 0.15, P(max(X,Y)=0)=0.23P(\max(X, Y) = 0) = 0.23 and P(min(X,Y)=0)=0.19P (\min(X,Y)=0) = 0.19. Let p=P(Y=0) p = P (Y=0). What is the value of 1000p \lfloor 1000 p \rfloor ?

Details and assumptions

The function max(X,Y) \max(X,Y) denotes the maximum of XX and YY. As an explicit example, max(1,2)=2 \max(1, 2) = 2 .

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