A) \[\frac{13}{25}\]
B) \[\frac{3}{25}\]
C) \[\frac{17}{25}\]
D) \[\frac{8}{25}\]
Correct Answer: A
Solution :
Consider the following events : \[A=\] A student is passed in Mathematics, \[B=\] A student is passed in Statistics. Then \[P(A)=\frac{70}{125},\] \[P(B)=\frac{55}{125},\] \[P(A\cap B)=\frac{30}{125}.\] Required probability is \[P(A\cap \bar{B})+P(\bar{A}\cap B)\]\[=P(A)+P(B)-2P(A\cap B)\] \[=\frac{70}{125}+\frac{55}{125}-\frac{60}{125}=\frac{65}{125}=\frac{13}{25}.\]You need to login to perform this action.
You will be redirected in
3 sec