1. Use the axioms of probability to show the following:
(a) For any event E, P{Ec} = 1 − P{E}.
(b) P{∅} = 0.
(c) For any events E and F, if E ⊂ F, then P{E} ≤ P{F}.
(d) If the events E1, E2, and E3 are mutually exclusive, then P{E1∪E2∪E3} = P{E1}+P{E2}+P{E3}.
can someone get me started on these?