Respuesta :
[tex]\frac{1}{18}[/tex]
Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. An event's probability is a number between [tex]0[/tex] and [tex]1[/tex].
Number of white socks [tex]=6[/tex]
Number of black socks [tex]=4[/tex]
Number of brown socks [tex]=2[/tex]
A brown sock is picked and replaced then a black sock is picked.
Probability that a brown sock is picked and replaced then a black sock is picked [tex]=\frac{2}{12}\times \frac{4}{12}[/tex]
[tex]=\frac{1}{3}\times \frac{1}{6}[/tex]
[tex]=\boldsymbol{\frac{1}{18}}[/tex]
For more information:
https://brainly.com/question/11234923?referrer=searchResults