A) \[\frac{33}{48}\]
B) \[\frac{35}{48}\]
C) \[\frac{31}{48}\]
D) \[\frac{37}{48}\]
Correct Answer: A
Solution :
(i) This question can also be solved by one student (ii) This question can be solved by two students simultaneously (ii) This question can be solved by three students all together. \[P(A)=\frac{1}{2},\,\,P(B)=\frac{1}{4},\,P(C)=\frac{1}{6}\] \[P(A\cup B\cup C)=\] \[P(A)\,+P(B)+P(C)\] \[-[P(A).\,P(B)+P(B)\,.\,P(C)+\,P(C)\,.\,P(A)]+[P(A).P(B).P(C)]\] \[=\frac{1}{2}+\frac{1}{4}+\frac{1}{6}-\left[ \frac{1}{2}\times \frac{1}{4}+\frac{1}{4}\times \frac{1}{6}+\frac{1}{6}\times \frac{1}{2} \right]+\left[ \frac{1}{2}\times \frac{1}{4}\times \frac{1}{6} \right]=\frac{33}{48}\].
You need to login to perform this action.
You will be redirected in
3 sec
