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# Identity Theft with Credit CardsCredit card numbers

## Problem 28BSC Chapter 4.6

Elementary Statistics | 12th Edition

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Problem 28BSC

Identity Theft with Credit CardsCredit card numbers typically have 16 digits, but not all of them are random. Answer the following and express probabilities as fractions.

a.What is the probability of randomly generating 16 digits and gettingyourMasterCard number?

b.Receipts often show the last four digits of a credit card number. If those last four digits are known, what is the probability of randomly generating the other digits of your MasterCard number?

c.Discover cards begin with the digits 6011. If you also know the last four digits of a Discover card, what is the probability of randomly generating the other digits and getting all of them correct? Is this something to worry about?

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