Your computer system uses a 4-letter password for login. For our purposes the pa

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Your computer system uses a 4-letter password for login. For our purposes the password is restricted to lower case letters of the alphabet. It is easy to calculate that the total number of passwords which can be produced is n = 26^4. A hacker creates a list of m=10^5 random 4-letter words, as candidates for matching the password. Note that it is possible that some of the m = 10^5 words could be duplicates You are given your own 4-letter password and you need to check if the hackers list contains at least one word that matches you password. This is considered one experiment. If a word in the list matches your password, the experiment is considered a success. Repeat the experiment for N = 1000 times and calculate the probability that at least one of the words in the hacker's list will match your password. If the hacker creates a list of m = 10^6 random 4-letter words, repeat the previous experiment for N = 1000 times and find the probability that at least one of the words in the hacker's list will match the password. Repeat the previous experiment for N = 1000 times to find the approximate number (m) of the words that must be contained in the hacker's list so that the probability of at least one word matching your password is p = 0.5

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