Discussion
In a drawer there are 4 white socks, 3 blue socks and 5 grey socks. Two socks are picked randomly. What is the possibility that both the socks are of same color?
Answer: D
There are \( 4 + 3 + 5 = 12 \) socks in all.
\[ \text{total ways} = {}^{12}C_{2} = 66 \]
Same colour, counted by colour:
\[ {}^{4}C_{2} + {}^{3}C_{2} + {}^{5}C_{2} = 6 + 3 + 10 = 19 \]
\[ P = \frac{19}{66} \]
The three colours are mutually exclusive, so their counts simply add.
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