Saturday 21 September 2013

weekend trivia

A piggy bank contains 4 copper coins and 3 silver coins. A second piggy bank contains 6 copper coins and 4 silver coins. A bank is chosen randomly and a coin is taken out of it. What is  the probability that it is a copper coin?
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Define \(f: \mathbb{R} \rightarrow \mathbb{R}\) by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \\ 0, &a...