There are 5 bags three of which each contains 5 white and 2 black balls, and remaining 2 bags each contains 1 white and 4 black ball; a white ball has been drawn, find the chance that it came from second group.
Choose the correct option.
A) 2/7
B) 6/35
C) 8/25
D) 14/89
E) 3/5
Chances of selecting a white ball from group 1: 2/7----------------------Chances of selecting a white ball from group 2: 4/5   Thus combined probability of section of white ball from group 1:   3/5 x 5/7 = 3/7   Thus combined probability of section of white ball from group 2:   2/5 x 1/5 = 2/25   Out of these chances, chance of occurrence of first case : (2/25) / (3/7 + 2/25) = 14/89   14/89
<result>D</result>
There are 5 bags three of which each contains 5 white and 2 black balls, and remaining 2 bags each contains 1 white and 4 black ball; a white ball has been drawn, find the chance that it came from second group.