A) \[\frac{50}{77}\]
B) \[\frac{52}{77}\]
C) \[\frac{25}{88}\]
D) \[\frac{63}{88}\]
Correct Answer: B
Solution :
Let \[A\] and \[B\] be two given events. The odds against \[A\] are \[5:2\], therefore \[P(A)=\frac{2}{7}\] . The odds in favour of \[B\] are \[6:5\], therefore \[P(B)=\frac{6}{11}.\] The required probability \[=1-P(\bar{A})\,P(\bar{B})\] \[=1-\left( 1-\frac{2}{7} \right)\,\left( 1-\frac{6}{11} \right)=\frac{52}{77}.\]
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