A) \[\frac{1}{2}\]
B) \[\frac{32}{65}\]
C) \[\frac{33}{65}\]
D) \[\frac{3}{5}\]
Correct Answer: B
Solution :
\[8=(a+b+c)\,\] is even \[P(E)\,=P\] (all 3 even or 2 odd and even) \[=\frac{^{8}{{C}_{3}}\,{{+}^{7}}{{C}_{2}}{{.}^{8}}{{C}_{1}}}{^{15}{{C}_{3}}}\,=\frac{8.7.6}{15.14.13}\,+\frac{21.8.6}{15.14.13}\] \[=\frac{8}{65}\,+\frac{24}{25}=\frac{32}{65}\]You need to login to perform this action.
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