Hello student,
Let E1 : transferred ball is red.
E2 : transferred ball is black.
A : Getting both red from 2nd bag (after transfer)
P(E1)=3/7,P(E2)=4/7
P(A/E1) = 5c2/10c2=2/9
,P(A/E2) = 4c2/10c2=2/15
P(E1/A) = ((P(E1) P(A|E1))/ P(E1)P(A|E1)+P(E2)P(A|E2)
= 5/9
Thanks and Regards
Shaik Aasif
askIITians faculty