Determine event independence using P(A and B)=P(A)P(B).
Find the probability of the same independent event happening repeatedly
Problem
Find the probability of heads on \(\text{all}~\text{three}~\text{independent}~\text{fair}\text{-}\text{coin}~\text{flips}\) by multiplying \(1/2\) for each trial.
Big Picture
What this problem is really about
All required outcomes across independent trials form an intersection, so their probabilities multiply. We’ll express one success for each flip, write the repeated product as a power, evaluate it, and verify the result by counting the single qualifying sequence among all equally likely sequences.
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