One drawer in a dresser contains 8 blue socks and 6 white socks. a second drawer contains 4 blue socks and 2 white socks. one sock is chosen from each drawer. what is the probability that they match (same color)?

The probability of drawing a blue sock from the first drawer is 8/14 = 4/7.
The probability of drawing a white sock from the first drawer is 6/14 = 3/7.
The probability of drawing a blue sock from the second drawer is 4/6 = 2/3.
The probability of drawing a white sock from the second drawer is 2/6 = 1/3.
[tex]P(blue\ blue) = \frac{4}{7}\times\frac{2}{3}=\frac{8}{21}[/tex]
[tex]P(white\ white)=\frac{3}{7}\times\frac{1}{3}=\frac{3}{21}[/tex]
The probability that they match is therefore (8/21) + (3/21) = 11/21
The answer is 11/21.