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