ProbabilityHard
Question
A signal which can be green or red with probability 
and 
respectively, is received by station A and then transmitted to station B. The probability of each station receiving the signal correctly is 
. If the signal received at station B is green, then the probability that the original signal was green is
and respectively, is received by station A and then transmitted to station B. The probability of each station receiving the signal correctly is . If the signal received at station B is green, then the probability that the original signal was green isOptions
A.
B.
C.
D.
Solution
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
P(E) =
P(G/E) =
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
P(E) =
P(G/E) =
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