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A fair die is rolled. Consider events {E}={{1},{3},{5}}, {F}={

Question

A fair die is rolled. Consider events $E = {1, 3, 5}$ , $F = {2, 3}$ and $G = {2, 3, 4, 5}$ Find(i) $P (E ∣ F)$ and $P (F ∣ E)$ (ii) $P (E ∣ G)$ and $P (G ∣ E)$ (iii) $P ((E \cup F) ∣ G)$ and $P ((E \cap F) ∣ G)$

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A fair die is rolled. Consider events

E = {1, 3, 5}

F = {2, 3}

and

G = {2, 3, 4, 5}

Find(i)

P (E ∣ F)

and

P (F ∣ E)

(ii)

P (E ∣ G)

and

P (G ∣ E)

(iii)

P ((E \cup F) ∣ G)

and

P ((E \cap F) ∣ G)

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Question Text

A fair die is rolled. Consider events

E = {1, 3, 5}

F = {2, 3}

and

G = {2, 3, 4, 5}

Find(i)

P (E ∣ F)

and

P (F ∣ E)

(ii)

P (E ∣ G)

and

P (G ∣ E)

(iii)

P ((E \cup F) ∣ G)

and

P ((E \cap F) ∣ G)

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