A) \[\frac{8}{17}\]
B) \[\frac{1}{4}\]
C) \[\frac{5}{17}\]
D) \[\frac{11}{20}\]
Correct Answer: C
Solution :
\[P(A)=\frac{2}{5}\] \[P(A\cap B)=\frac{3}{20}\] \[P(A/(A'\cup B'))=?\] \[P(A/(A'\cup B'))=\frac{P(A\cap (A'\cup B'))}{P(A'\cap B')}\] \[=\frac{P((A\cap A')\cup A\cap B'))}{P(A'\cap B')}=\frac{P(\phi \cap (A\cap B'))}{1-P(A\cap B)}\] \[=\frac{P(A\cap B')}{1-\frac{3}{20}}=\frac{P(A)-P(A\cap B)}{\frac{17}{20}}=\frac{\frac{5}{5}-\frac{3}{20}}{\frac{17}{20}}=\frac{\frac{5}{20}}{\frac{17}{20}}=\frac{5}{17}\]
You need to login to perform this action.
You will be redirected in
3 sec
