Bag A contains 3 blue balls and 6 white balls. Bag B contains 5 blue balls and 7 white balls. 2 balls are drawn from bag A and 1 ball from bag B. Find the probability that out of 3 balls drawn,2 are blue and 1 is white.

I calculated the probability to be 37/144 but the answer provided is 49/108. Is the answer provided correct?

Thanks a lot!