wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Let X and Y be two events such that P(X)=13,P(X|Y)=12 and P(Y|X)=25. Then ?

A
P(Y)=415
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
P(XY)=12
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
P(XY)=25
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
P(XY)=15
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B P(XY)=12
P(X)=13 ...(i)P(X|Y)=P(XY)P(Y)=12 ...(ii)P(Y|X)=P(XY)P(X)=25 ...(iii)By solving eqns. (i), (ii) and (iii) . . . P(XY)=215P(Y)=415P(X|Y)=P(Y)P(XY)P(Y)=415215415=12P(XY)=13+415215=715=715

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon