Use permutations and combinations to compute probabilities of compound events and solve problems.
Find the probability of at least one desired outcome using the complement
Problem
The complement of at least one head in four flips is four tails. Compute \(1-(1/2)^{4}\).
Big Picture
What this problem is really about
At least one is often simplest through the single way the event can fail. We’ll name the no-heads complement, use independence to multiply the four tail probabilities, subtract that result from one, and check the structure against the complete set of four-flip outcomes.
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