A) \[1/196\]
B) \[2/7\]
C) \[1/7\]
D) \[13/56\]
Correct Answer: C
Solution :
Required probability\[=P(WBWB)+P(BWBW)\] \[=\frac{^{5}{{C}_{1}}{{\times }^{3}}{{C}_{1}}{{\times }^{4}}{{C}_{1}}{{\times }^{2}}{{C}_{1}}}{^{8}{{C}_{1}}{{\times }^{7}}{{C}_{1}}{{\times }^{6}}{{C}_{1}}{{\times }^{5}}{{C}_{1}}}\] \[+\frac{^{3}{{C}_{1}}{{\times }^{5}}{{C}_{1}}{{\times }^{2}}{{C}_{1}}{{\times }^{4}}{{C}_{1}}}{^{8}{{C}_{1}}{{\times }^{7}}{{C}_{1}}{{\times }^{6}}{{C}_{1}}{{\times }^{5}}{{C}_{1}}}\] \[=\frac{1}{14}+\frac{1}{14}\] \[=\frac{2}{14}=\frac{1}{7}\]
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