Bag M has 5 white balls and 2 red balls. Bag N contains 3 white balls and 4 red balls.

If a white ball is selected from Bag N, What is the probability that a red ball was transferred from Bag M to Bag N?

Please give the answer in any form you like, fractions, decimals, etc. Also, step by step instruction is also very much appreciated.

Thank you in advance.