Fran needs to create an 8 - character password with any combination of digits and/or letters. what is the probability that her password will be identical to someone else's

Question

Mathematics

Papa

12 January, 05:21

Fran needs to create an 8 - character password with any combination of digits and/or letters. what is the probability that her password will be identical to someone else's

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Answers (1)

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Roger Burke · Answer 1

Since the combination can contain number (0-9) and letter (A-Z), therefore the total characters to choose from is:

10 + 26 = 36

Since there are 8 characters, therefore the total number of combinations is:

Combination = 36^8 = 2.821 x 10^12

The probability that the two will have similar passwords will be:

Probability = (1/2.821 x 10^12) ^2

Probability = 1.26 x 10^-25

The probability is very low.