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Probability of combined events
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Learn it P(not A) = 1 − P(A). For two events, multiply along the branches of a tree. Without replacement, the second probability changes.
Example: A bag has 3 red and 2 blue. Pick 2 without replacement. P(both red)?
- First red: $\frac{3}{5}$.
- Second red (2 red left of 4): $\frac{2}{4}$.
- $\frac{3}{5} \times \frac{2}{4} = \frac{6}{20} = \frac{3}{10}$.
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