There are 3 bags \({B}_{1},{B}_{2},{B}_{3}\) which contain 4 white and 6 black, 6 white and 4 black, 5 white and 5 black…

There are 3 bags \({B}_{1},{B}_{2},{B}_{3}\) which contain 4 white and 6 black, 6 white and 4 black, 5 white and 5 black balls respectively If 1 ball is randomly selected from a bag and is found to be white . Find the probability that ball came from bag \({B}_{2}\).

[JEE Main 2025]