A bag contains 4 tan socks and 7 grey socks. emily reaches into the bag and randomly selects two socks without replacement. what is the probability that emily will get different-colored socks?

Tan socks = 4

Grey socks = 7

Total number of socks = 4+7 = 11 socks

Probability of picking a tan sock then grey sock:

P (T) * P (G) = (4/11) * (7/10) = 14/54

Probability of picking a Grey sock then Tan sock

P (G) * P (T) = (7/11) * (4/10) = 14/55

Probability of two different colored socks

P (T&G) + P (G&T) = (14/55) + (14/55) = 28/55