Answer: C. [tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
Given: Box contains 8 green balls and 4 purple balls.
Total balls = 8+4 = 12
event 1 = first picking green ball
event 2 = second picking purple balls.
As first ball was replaced, that means both events are independent.
Probability that you have selected a green ball and then a purple ball = P(purple ball )
Formula for probability = [tex]\dfrac{\text{favorable outcomes}}{\text{total outcomes}}[/tex]
Probability of selecting a purple ball (second pick)= [tex]\dfrac{4}{12}[/tex]
[tex]=\dfrac{1}{3}[/tex]
The required probability [tex]=\dfrac{1}{3}[/tex], so C is correct option.
