Elements operation in the corresponding position of a matrix

Question

I have two matrix

  x={{2, 3, 4}, {3, 4, 5}, {4, 5, 6}};
  probability={{0.09, 0.09, 0.12}, {0.09, 0.09, 0.12}, {0.12, 0.12, 0.16}};

Now I want to add up corresponding position probability. for example,

$\Pr(x=3)=0.09+0.09$

$\Pr(x=4)=0.12+0.09+0.12$

I tried Position

   k = Position[x, 3];
  (*   {{1, 2}, {2, 1}}  *)

but they can not directly use

 x[[k]]

Which command should I use?

Answer 1

 Total@Extract[probability, Position[x, 3]]

Answer 2

Total[Pick[probability, x, 3], 2]

Answer 3

emp = EmpiricalDistribution[Flatten @ probability -> Flatten @ x]
p[n_] := Probability[z == n, z \[Distributed] emp]

E.g.

p[3]

0.18

p[4]

0.33