then if only one of the 8 bits is in error, that will be corrected and the byte will be error-free after correction.
Hence, the maximum number of bit errors possible is 7.
Two bits in error will have one bit corrected and is a single error after error correction.
Hence the probability of the byte being correct after error correction is the sum of the
binomial terms for no error and a single-bit error, which is about 0.81.
The probability of the byte having exactly a single-bit error (after correction) is
which turns out to have the highest probability.
The probability of exactly 2 bits in error (after correction) is
since one of the 3 bits in error will be corrected........etc