What Is the Probability That in a Group of 200

question 6

Essay

What is the probability that in a group of 200 random people, at least two of them have the same triple of initials (such as RSZ for Ruth Suzanne Zeitman), assuming that each triple of initials is equally likely. Give the answer as a calculation; it is not necessary to evaluate the expression.

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Definitions:

Electron Transport Chain

A series of protein complexes and other molecules that transfer electrons from electron donors to electron acceptors via redox reactions and generate ATP in the process.

Decarboxylation

A reaction in which a molecule of CO2 is removed from a carboxyl group of an organic acid.

Carboxyl Group

A functional group consisting of a carbon atom double-bonded to an oxygen atom and single-bonded to a hydroxyl group (-COOH), present in organic acids.

Coenzyme Q

A fat-soluble substance found in the mitochondria, essential for the production of energy in cells, and functions as an antioxidant.