An electronic message consists of a string of bits (0s and 1s). The message must pass through two relays before being received. At each relay the probability is 0.1 that the bit will be reversed before being relayed (i.e., a 1 will be changed to a 0, or a 0 to a 1). Find the probability that the value of a bit received at its final destination is the same as the value of the bit that was sent.
What will be an ideal response?
Let A be the event that the bit is reversed at the first relay, and let ? be the event that the bit is reversed at the second relay. Then P(bit received is the same as the bit sent)
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What will be an ideal response?
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