NIMCET 2023 Question Paper with solutions

Box A contains 4 green, 5 black and 6 white balls. Box B contains 5 green, 3 black and 2 white balls. A ball is chosen at random from the box A and placed in box B and then a ball is chosen at random from box What is the probability that a black ball was transferred from box $\mathrm{A}$ to box $\mathrm{B}$ given that the final ball chosen from box B is green?