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A Computer Randomly Generates a Password That Is 8 Entries

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A computer randomly generates a password that is 8 entries long. The password is 4 letters followed by 4 numbers with repetitions of numbers and/or letters permitted. What is the probability that the computer will generate a password for Jonathan that has the same four letters followed by the same four numbers, such as KKKK5555?


Definitions:

Cornelius Vanderbilt

An American industrialist and philanthropist who built his wealth in railroads and shipping during the 19th century.

Jenny Jerome

An American socialite best known as the mother of Winston Churchill, Prime Minister of the United Kingdom during World War II.

Stenographers

Professionals who specialize in the transcribing of speech, often in legal or business settings, into written form using shorthand or a stenotype machine.

Black Lung

A respiratory disease caused by inhaling coal dust over a long period, common among coal miners.

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