The Department of Statistics at a State University in California

question 2

Essay

The Department of Statistics at a state university in California has just completed voting by secret ballot for a department head. The ballot box contains four slips with votes for candidate A and three slips with votes for candidate B. Suppose these slips are removed from the box one by one.
a. List all possible outcomes.
b. Suppose a running tally is kept as slips are removed. For what outcomes does A remain ahead of B throughout the tally?

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Definitions:

Heritability

The degree to which the variations in a trait from one person to another can be attributed to genetic factors.

Hypersensitivity

An exaggerated or inappropriate response by the immune system to a substance that is normally harmless.

Transitivity

The ability in logic and mathematics to understand that if a relationship exists between A and B, and B and C, then that relationship exists between A and C.

Plasticity

The capacity of the brain to change and adapt in response to experience, learning, or injury.