Calculating Joint Conditional Probability with Independent Variables

[Invincible9]

Homework Statement

I have access to P(x|A) and P(y|A), P(x), P(y) and P(A), in addition to the knowledge that x and y are independent variables. I am interested in finding P(A|x,y).

The Attempt at a Solution

I think that
P(A|x,y) = P(x,y|A) * P(A) / P(x,y) = P(x,y|A) * P(A) / (P(x)*P(y))

I am not particularly good at probability and am dealing with probabilities after considerable time, would like to know if i am doing anything wrong or is my answer correct.

 

[RoshanBBQ]

It looks good to me.