You are to create a password using 6 letters from the alphabet (repetition allow

Question

You are to create a password using 6 letters from the alphabet (repetition allowed). What is the probability that no letter is repeated if the letters were randomly chosen to be in the password? Round your answer to four decimal places. You are to create a password using 6 letters from the alphabet (repetition allowed). What is the probability that no letter is repeated if the letters were randomly chosen to be in the password? Round your answer to four decimal places. You are to create a password using 6 letters from the alphabet (repetition allowed). What is the probability that no letter is repeated if the letters were randomly chosen to be in the password? Round your answer to four decimal places.

Explanation / Answer

Total number of ways to create a 6 letter password with repetition = 26*26*26*26*26*26 = 308915776

Total number of ways to create a 6 letter password without repetition = 26*25*24*23*22*21 = 165765600

probability that no letter is repeated = 165765600/308915776 = 0.5366

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