Let $E_1$ and $E_2$ be two independent events such that $P\left(E_1\right)=p_1$ and $P\left(E_2\right)=p_2$ .

Describe in words the events whose probabilities are:

${\mathrm{i.\; p}}_1{p}_2$

$ii.\; (1-p_1)p_2$

$\mathrm{iii.\; 1}-\left(1-p_1\right)\left(1-p_2\right)$

${\mathrm{iv.\; p}}_1+p_2-2p_1{p}_2$

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