JEE Advanced 2010 Mathematics 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
Answer: (C)
Solution
Let G be the event that the original signal is green and E the event that B receives green. If the original is green, B receives green when both stations receive correctly or both receive wrongly (the second error reverses the first): . If the
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