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Craig’s drawer contains 6 white socks, 5 blue socks, and 7 black socks. He selects a sock without looking and does not replace it. Then he selects another sock without looking. Find P(two black socks).
A-49/324
B-7/51
C-5/51
D-7/18

Respuesta :

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.

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