A Coin Is Loaded So That the Probability of Heads

question 22

Essay

A coin is loaded so that the probability of heads is 0.55 and the probability of tails is 0.45.
Suppose the coin is tossed twice and the results of the tosses are independent.
(a) What is the probability of obtaining exactly two heads?
(b) What is the probability of obtaining exactly one head?
(c) What is the probability of obtaining no heads?
(d) What is the probability of obtaining at least one head?

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Definitions:

Miracle Question

A technique used in therapy where individuals are asked to imagine that a miracle has happened overnight and their problem is solved, aiming to explore desired changes and goals.

Character Analysis

A technique in psychology aimed at exploring the complexities of personality traits and behaviors.

Solution-Focused Therapists

Therapists who employ a goal-directed collaborative approach to psychotherapeutic treatment, focusing on client strengths and future possibilities rather than past problems.

Client Problems

Refers to the specific issues, concerns, or difficulties that a client presents in the context of psychotherapy or counseling.