MHT CET Mathematics question

MathematicsProbabilityMHT CET

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 green is

Answer: (C)

Solution

If the original signal is green, B receives green when both stations are correct or both wrong: ; if it is red, B receives green when exactly one is wrong:

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Question ID VK-027688