A) \[\frac{25}{168}\]
B) \[\frac{25}{56}\]
C) \[\frac{20}{168}\]
D) \[\frac{30}{168}\]
Correct Answer: B
Solution :
Here \[{{p}_{1}}=\frac{1}{3},\] \[{{p}_{2}}=\frac{2}{7}\] and \[{{p}_{3}}=\frac{3}{8}\] \[\Rightarrow {{q}_{1}}=\frac{2}{3},\] \[{{q}_{2}}=\frac{5}{7}\] and \[{{q}_{3}}=\frac{5}{8}\] Required probability \[={{p}_{1}}{{q}_{2}}{{q}_{3}}-{{q}_{1}}{{p}_{2}}{{q}_{3}}+{{q}_{1}}{{q}_{2}}{{p}_{3}}.\]
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