What does conditional probability mean?
It is the chance of event given that event has occurred. The direction matters: is generally not equal to .
Study 4 Probability and Statistical Reasoning with 12 free online flashcards. Review key terms, definitions, and concepts with this interactive flashcard deck.
What does conditional probability P(A∣B) mean?
It is the chance of event A given that event B has occurred. The direction matters: P(A∣B) is generally not equal to P(B∣A).
How does Bayes’ rule update a prior probability?
Bayes’ rule updates the prior probability of A using evidence B: P(A∣B)=P(B)P(B∣A)P(A).
What is a base rate?
A base rate is how frequent an outcome is in the relevant population before considering a particular piece of evidence.
Why convert probabilities into natural frequencies?
Convert percentages into counts out of a group, such as 1,000 or 10,000 people. This makes competing possibilities easier to compare.
How do population, sample, parameter, and statistic differ?
A population is the full group of interest; a sample is the part observed. A parameter describes a population, while a statistic summarizes a sample.
What defines a simple random sample?
Selection follows a known random procedure. In a simple random sample, every population member has the same chance of selection.
What is sampling variability?
Sampling variability is the chance difference between a sample statistic and the population parameter. Larger, well-designed probability samples generally reduce it.
What is sampling bias?
Sampling bias occurs when selection or response systematically overrepresents or underrepresents groups in the population.
What is regression to the mean?
It is the tendency for an unusually high or low observation to be followed, on average, by a less extreme one when repeated measurements are imperfectly correlated.
Why can improvement after an extreme result fail to prove an intervention worked?
An extreme result may partly reflect temporary variation. A later result can be less extreme without a personal change or an effective treatment; a suitable comparison group helps assess intervention effects.
What is the availability heuristic?
Availability is judging an event as common because examples come readily to mind; a recent dramatic story can distort judgments of population-level frequency.
What is the representativeness heuristic?
Representativeness is judging likelihood by resemblance to a familiar pattern while neglecting the base rate. Fitting a stereotype does not outweigh how common each group is.
Learn how goals, available actions, and constraints shape problem representations, and how reconsidering assumptions can open new paths toward a solution.
Explore how development unfolds from conception through age three, including prenatal periods, newborn adaptation, physical and cognitive growth, language, attachment, and social-emotional change.
Learn how cognitive, motivational, and environmental barriers can disrupt problem solving and how to recognize and address them.
Explore the physical, cognitive, emotional, and social changes of middle childhood, and how family, school, peers, and developmental theories help explain them.
A focused review of language, problem solving, decision making, intelligence, creativity, and cognitive biases in psychology.
A 14-question quiz on cognition and intelligence covering language, problem solving, decision making, intelligence, creativity, and cognitive bias. The questions progress from foundational application to more integrative reasoning.
Explore how physical, cognitive, emotional, social, and work-related experiences can vary during middle adulthood, and how adults adapt to change and responsibility.
Explore how physical, cognitive, and social development changes and continues from before birth through late adulthood, and why individual pathways differ.
A focused review of developmental psychology covering lifespan change, prenatal development, major developmental stages, and influential theories of cognitive, psychosocial, moral, and ecological development.
A structured guide to language, problem solving, decision making, intelligence, creativity, and cognitive bias, with practical connections among these core cognitive processes.
A lifespan overview of how physical, cognitive, and psychosocial development unfolds from conception through late adulthood, integrating major developmental theories and the roles of biology, experience, relationships, and culture.
A structured guide to how motivation, emotion, stress, coping, and health behavior interact through biological, cognitive, social, and environmental processes.