Let F be an event space. Prove the following properties: (a) If A, B ∈ F and A ⊂ B, then B \ A ∈ F; (b) If Ai ∈ F for all i ≥ 1, then ∩i≥1  Ai ∈ F holds. Hint: use De Morgan's laws.

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A: Given: E=0,1~P To prove: m*(A∩E)=mE

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Q: Let F and G be event spaces over 2. Show that FNG is also an event space over 2.

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