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:

Written Consent

A formal agreement documented in writing whereby a party explicitly states their approval or permission for certain actions.

Written Consent

Formal permission given in writing for an action or decision, often required legally or institutionally.

Emergency Treatment

Medical care administered for acute conditions or injuries requiring immediate attention.

Informed Consent

The process of providing comprehensive information about a medical treatment or procedure to a patient, so they can voluntarily decide to proceed.