A) \[\frac{52}{77}\]
B) \[\frac{50}{77}\]
C) \[\frac{25}{88}\]
D) None of these
Correct Answer: A
Solution :
Let A and B are two given events. Then, the odds against A are 5 : 2. \[\therefore \] \[P(A)=\frac{2}{7}\] And the odds in favor of B are 6 : 5. \[\therefore \] \[P(B)=\frac{6}{11}\] \[\therefore \] Required probability, \[1-P(\overline{A}\cap \overline{B})\] \[=1-P(\overline{A})\,(\overline{B})\] \[=1-\left( 1-\frac{2}{7} \right)\,\left( 1-\frac{6}{11} \right)\] \[=1-\,\left( \frac{5}{7} \right)\,\,\left( \frac{5}{11} \right)\] \[=\frac{77-25}{77}=\frac{52}{77}\]
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