Answer: (b)
Step-by-step explanation:
Given
Craig's drawer contains 6 white, 5 blue and 7 black socks
He first select a sock without looking and then select another sock
Probability that he select the two black socks is equal to the product of selecting first black sock and second black sock.
[tex]\Rightarrow P=\dfrac{7}{18}\times \dfrac{6}{17}\\\\\Rightarrow P=\dfrac{7}{51}[/tex]
Hence, option (b) is correct.