In a drawer there are 5 black socks and 3 green socks. Two socks are picked randomly one after the other without replacement. What is the possibility that both the socks are black?

Answer: Option A

Number of Black socks = 5
Total socks = 5 + 3 = 8
First we draw one sock
Probability of it being black = $$\frac{5}{8}$$
Now a second sock is picked
Probability of its being black = $$\frac{4}{7}$$
Total Probability $$=\frac{5}{8}\times \frac{4}{7}=\frac{5}{14}$$