Three Candidates for the Presidency of a University's Student Union

question 16

Essay

Three candidates for the presidency of a university's student union, Alice, Brenda and Cameron, are to address a student forum. The forum's organiser is to select the order in which the candidates will give their speeches, and must do so in such a way that each possible order is equally likely to be selected.
a. What is the random experiment?
b. List the simple events in the sample space.
c. Assign probabilities to the simple events.
d. What is the probability that Cameron will speak first?
e. What is the probability that one of the women will speak first?
f. What is the probability that Alice will speak before Cameron does?

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Definitions:

Pollutants

Substances introduced into the environment that cause harm or discomfort to organisms, often resulting from human activity.

Automobiles

Motor vehicles with four wheels, primarily designed for passenger transportation on roads.

Chlorofluorocarbons

Chemical compounds used in aerosols and refrigeration that deplete the ozone layer.

Toxic Sources

Influences or materials that are harmful or poisonous, potentially causing damage to health or well-being.