1. The problem statement, all variables and given/known data What is the maximum allowable probability of error is a typical digit in order that the (8, 4) Hamming Code can be used with probability .999 that the receiver will not be misled (i.e., 3 or more errors occur) in a single word? 2. Relevant equations http://en.wikipedia.org/wiki/Hamming_code#Hamming_codes_with_additional_parity_.28SECDED.29 3. The attempt at a solution Using the (8, 4) extended Hamming code, what is the maximum allowable probability of error in a typical digit (p) so that the receiver will know with certainty .999 that she has not been misled. In other words, what value of p do we have to take so that the probability of 3 or more errors in transmission is smaller than .001.