A) \[\frac{5}{108}\]
B) \[\frac{18}{108}\]
C) \[\frac{30}{108}\]
D) \[\frac{48}{108}\]
Correct Answer: D
Solution :
Total socks \[=5+4=9\] The number of ways to select \[2\] socks out of 9 = \[^{9}{{C}_{2}}\] If number of ways to select both brown socks \[={{\,}^{5}}{{C}_{2}}\] And number of ways to select both white socks \[={{\,}^{4}}{{C}_{2}}\] \[\therefore \,P\](Both brown or white) \[=\frac{^{5}{{C}_{2}}+{{\,}^{4}}{{C}_{2}}}{^{9}{{C}_{2}}}=\frac{16}{36}=\frac{48}{108}\].
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