Box \(A\) contains 5 Red balls and 7 Green balls while box \(B\) contains 4 Red balls and 8 Green balls. From each of

Box \(A\) contains 5 Red balls and 7 Green balls while box \(B\) contains 4 Red balls and 8 Green balls. From each of the boxes, 1 ball is randomly picked up. What is the probability that both the balls that were picked up are of the same color?

A. \(\dfrac{19}{560}\)

B. \(\dfrac{19}{280}\)

C. \(\dfrac{1}{56}\)

D. \(\dfrac{1}{20}\)

E. \(\dfrac{19}{36}\)

Answer: E

Source: e-GMAT