Answer: Option 'B' is correct.
Step-by-step explanation:
Since we have given that
Number of pairs of black socks = 2
Number of pairs of white socks = 3
Number of pair of green = 1
Number of pair of gray = 2
Number of black socks = 2×2=4
Number of white socks = 3×2 = 6
Number of green socks = 1×2=2
Number of gray socks = 2×2=4
Total number of socks = 4+6+2+4=16
Since he picked 1 black, 1 white and 1 gray.
So, Remaining socks = 16-3=13
To make a complete pair it must be of black, or white or gray color.
So, Possible outcomes = 13-2=11 (deducting the outcomes of green color)
So, Probability that he will have a complete pair is given by
Hence, Option 'B' is correct.