On which factor/s do/does the error probability depend/s after decoding?

The correct answer is C. Both A and B.

The error probability after decoding depends on both the number of error vectors and the error probability of symbol transmission. The number of error vectors is the number of errors that occur in the received signal. The error probability of symbol transmission is the probability that a symbol is transmitted incorrectly.

If there are more error vectors, then the error probability after decoding will be higher. This is because there are more opportunities for errors to occur. If the error probability of symbol transmission is higher, then the error probability after decoding will also be higher. This is because there is a higher probability that a symbol will be transmitted incorrectly.

Therefore, the error probability after decoding depends on both the number of error vectors and the error probability of symbol transmission.

Option A is incorrect because the error probability after decoding does not depend on the number of error vectors alone. The error probability after decoding also depends on the error probability of symbol transmission.

Option B is incorrect because the error probability after decoding does not depend on the error probability of symbol transmission alone. The error probability after decoding also depends on the number of error vectors.

Option D is incorrect because the error probability after decoding depends on both the number of error vectors and the error probability of symbol transmission.