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Answer:
The probability of getting 2 socks of the same color is 1/3.
Step-by-step explanation:
In the drawer,
Number of blue socks = 4
Number of white socks = 8
Number of gray socks = 4
Total number of socks = 4 + 8 + 4 = 16
Total ways to select 2 socks form 16 socks is
Total ways to select 2 socks of the same color is
T = Possible ways of (2 blue + 2 white +2 gray) socks
=
=
=
The probability of getting 2 socks of the same color is
Therefore, the probability of getting 2 socks of the same color is 1/3.