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counting and probability intermediate
Problem
If we flip 6 coins, what is the probability of getting at least 2 heads?
Solution
There are possible outcomes, since each of the 6 coins has 2 possibilities. If we do not get at least 2 heads, then we get either no heads or one heads. There is only 1 way to get 0 heads, and ways to get 1 head, so the probability of getting at most one head is . Therefore, the probability of getting at least 2 heads is .
Final answer
\frac{57}{64}