CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A signal which can be green or red with probability 45 and 15 respectively, is received by station A and then transmitted to station B. The probability of each station receiving the signal correctly is 34. If the signal received at station B is green, then the probability that the original signal was green is

A
35
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
67
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2023
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
920
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 2023
Let Event G= original signal is green
E1=A receives the signal correct
E2=B receives the signal correct
E= signal received by B is green
P(signal received by B is green)
=P(GE1E2)+P(G¯¯¯¯E1¯¯¯¯E2)+P(¯¯¯¯GE1¯¯¯¯E2)+P(¯¯¯¯G ¯¯¯¯E1E2)

=(45×34×34)+(45×14×14)+(15×34×14)+(15×14×34)

P(E)=4680
P(G/E)=(45×34×34)+(45×14×14)4680=2023

flag
Suggest Corrections
thumbs-up
0
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Defining Probability
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon