Let $E,F,$and $G$be three events. Find expressions for the events so that, of $E,F,$and $G,$

$\left(a\right)$only $E$occurs;

$\left(b\right)$both $E$and$G$, but not$F$, occur;

$\left(c\right)$ at least one of the events occurs;

$\left(d\right)$ at least two of the events occur;

$\left(e\right)$ all three events occur;

$\left(f\right)$ none of the events occurs;

$\left(g\right)$ at most one of the events occurs;

$\left(h\right)$ at most two of the events occur;

$\left(i\right)$ exactly two of the events occur;

$\left(j\right)$at most three of the events occur.

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