A Pair of Fair Dice Is Tossed $$A \cup B = B$$

question 184

True/False

A pair of fair dice is tossed. Events A and B are defined as follows.
A: {The sum of the numbers on the dice is 3}
B: {At least one of the dice shows a 2}
True or False: $$A \cup B = B$$

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Definitions:

Psychoanalysis

A set of psychological theories and therapeutic methods which aim to treat mental disorders by investigating the interaction of conscious and unconscious elements in the mind and bringing repressed fears and conflicts into the conscious mind by techniques such as dream interpretation and free association.

Behaviorism

A theory of learning based on the idea that all behaviors are acquired through conditioning, emphasizing the role of environmental factors in shaping behaviors.

Trait Theory

A theory of personality that focuses on the identification and measurement of specific traits or attributes that differentiate individuals from one another.

Social And Historical Factors

Influences stemming from the societal context and historical periods that impact individuals and communities.