Bag A contains \( 3 \) white, \( 7 \) red balls and Bag B contains \( 3 \) white, \( 2 \) red balls. One bag is selected at random and a ball is drawn from it. The probability of drawing the ball from the bag A, if the ball drawn is white, is:
\( \dfrac{1}{9} \)
\( \dfrac{1}{4} \)
\( \dfrac{1}{3} \)
\( \dfrac{3}{10} \)