Explain conditional probability and independence in everyday language and situations.
Decide whether repeated trials in a context are independent
Problem
Does this context likely involve independent trials: rolling a die \(\text{four}\) times?
Big Picture
What this problem is really about
Repeated trials are independent when earlier outcomes do not alter the next trial’s probability distribution. We’ll verify that every die roll retains the same faces and per-face probabilities, explain why repeated or missing values cause no update, and reject the gambler’s-fallacy intuition.
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