Compute Probabilities Involving Permutations and Combinations
-A Box Contains 26 $\frac { 1 } { 14,950 } ; \frac { 1463 } { 2990 }$

question 42

Multiple Choice

Compute Probabilities Involving Permutations and Combinations
-A box contains 26 widgets, 4 of which are defective. If 4 are sold at random, find the probability that (a) all are defective (b) none are defective.

• A) \(\frac { 1 } { 14,950 } ; \frac { 1463 } { 2990 }\)
• B) \(\frac { 2 } { 13 } ; \frac { 11 } { 13 }\)
• C) \(\frac { 1 } { 358,800 } ; \frac { 1 } { 89,700 }\)
• D) \(\frac { 1 } { 26 } ; \frac { 2 } { 13 }\)

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Definitions:

Capabilities

The quality or state of being capable; it refers to an organization's or individual's potential or ability to achieve tasks or goals.

Poverty

A general scarcity or lack of material possessions or money for consumption; a persistent lack of income that deprives an individual of the ability to obtain appropriate levels of food, water, clothing, shelter, health care, and/or education.

Daily-Wage Worker

An individual who is paid at the end of each day for their labor, often without long-term employment commitments.

Poverty

A condition characterized by severe deprivation of basic human needs, including food, safe drinking water, sanitation facilities, health, shelter, education, and information.