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Before Dawn Josh Hurriedly Packed Some Clothes for a Job-Interview

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Before dawn Josh hurriedly packed some clothes for a job-interview trip while his roommate was still sleeping. He reached in his disorganized sock drawer where there were five black socks and five navy blue socks, although they appeared to be the same color in the dimly lighted room. Josh grabbed six socks, hoping that at least two, and preferably four, of them were black to match the gray suit he had packed. With no time to spare, he then raced to the airport to catch his plane.
a. What is the probability that Josh packed at least two black socks so that he will be dressed appropriately the day of his interview?
b. What is the probability that Josh packed at least four black socks so that he will be dressed appropriately the latter day of his trip as well?


Definitions:

Raw Materials

Basic materials extracted from the environment or that are used in the initial stages of production to make goods.

Tariffs

Taxes levied on imported goods and services, intended to make imported goods more expensive to protect domestic industries.

Quotas

Limits set by a government on the amount of a specific good that can be imported or exported during a given time frame, often to protect domestic industries.

Pirating

The unauthorized use or reproduction of another's work without permission.

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