Box A contains 2 black and 3 red balls while box B contains 3 black and 4 red balls. Out of these two boxes one is selected at random and the probability of choosing box A is double that of box B. If a red ball is drawn from the selected box, then the probability that it has come from box B is
1
\(\frac{{21}}{{31}}\)
2
\(\frac{{12}}{{31}}\)
3
\(\frac{{13}}{{41}}\)
4
\(\frac{{10}}{{31}}\)
5
Not Attempted