Which of the Following Statements Is True If and Only

question 2

Multiple Choice

Which of the following statements is true if and only if events A and B are independent?

• A) P(A∪B) = P(A) + P(B)
• B) P(A∩B) = P(A) ∙ P(B)
• C) P(A∩B) = P(A) ∙ P

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Definitions:

Natural Selection

The process by which organisms better adapted to their environment tend to survive and produce more offspring, a key mechanism of evolution.

Mutation

A permanent alteration in the DNA sequence that makes up a gene, varying from a single base pair to large sections of a chromosome.

Scale of Nature

A historical concept proposing a hierarchical order of living organisms from simplest to most complex, often associated with pre-Darwinian theories of evolution.

Aristotle

An ancient Greek philosopher and polymath, whose extensive writings cover diverse subjects including physics, biology, metaphysics, logic, ethics, and politics, significantly influencing Western intellectual history.