Probability that they will match

[Mahonroy]

Hello, got a bit confused on this problem, so thought I would ask:
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?

 

[galactus]

In the first drawer, there is a 3/7 chance of drawing a white sock. Then, a 1/3 chance in the second drawer.

For white, (3/7)(1/3)=1/7

Do the same for blue and add them.

 

[Mahonroy]

Thanks for the reply! How do you get the 3/7 chance for drawing a white sock, and 1/3 chance out of second drawer? Thanks again

 

[Denis]

How do you get the 3/7 chance for drawing a white sock

6 white, 8 blue = 14 socks : 6 out of 14 = 6/14 = 3/7 ; kapish?