Question: 23. Let E, F, and G be three events. Determine which of the following statements are correct and which are incorrect. Justify your answers. (a)

23. Let E, F, and G be three events. Determine which of the following statements are correct and which are incorrect. Justify your answers.

(a) (E − EF) ∪ F = E ∪ F.

(b) FcG ∪ EcG = G(F ∪ E)c.

(c) (E ∪ F)cG = EcFcG.

(d) EF ∪ EG ∪ FG ⊂ E ∪ F ∪ G.

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