Select Five Cards Without Replacement from a Standard Deck of 52

question 69

Multiple Choice

Select five cards without replacement from a standard deck of 52, and let X be the number of black cards you draw. Calculate the expected value of the given random variable X.

• A) \(E ( X ) = 26\)
• B) \(E ( X ) = 1.8\)
• C) \(E ( X ) = 3\)
• D) \(E ( X ) = 2.5\)
• E) \(E ( X ) = 3.2\)

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Definitions:

Personality Trait

Relatively stable and enduring patterns of thought, feeling, and behavior that characterize an individual's responses across a variety of situations.

Growth-Promoting Climate

An environment characterized by support, understanding, and encouragement, fostering personal development and growth.

Rogers

Refers to Carl Rogers, an influential psychologist known for developing the person-centered approach to therapy and the concept of unconditional positive regard.

Relaxing

Engaging in activities or practices that reduce tension and stress, leading to a state of calm and ease.