If three events of a sample space are E, F and G, then P(E ∩ F ∩ G) is equal to

Question

If three events of a sample space are E, F and G, then P(E ∩ F ∩ G) is equal to (A) P(E)P(F|E)P(G|(E∩ F)) (B) P(E) P(F|E) P(G |EF )) (C) Both (a) and (b) (D) None of these

Tardigrade Admin · Accepted Answer

If E, F and G are the three events of sample space, then we have P(E ∩ F ∩ G) = P(E) P(F|E) P(G|(E∩ F)) = P(E) P(F|E) P(G|EF)

Q. If three events of a sample space are $E$ , $F$ and $G$ , then $P (E \cap F \cap G)$ is equal to

$P (E) P (F ∣ E) P (G ∣ (E \cap F))$

$P (E) P (F ∣ E) P (G ∣ EF))$

Both $(a)$ and $(b)$

None of these

If $E$ , $F$ and $G$ are the three events of sample space, then we have
$P (E \cap F \cap G) = P (E) P (F ∣ E) P (G ∣ (E \cap F))$
$= P (E) P (F ∣ E) P (G ∣ EF)$

Q. If three events of a sample space are E, F and G, then P(E∩F∩G) is equal to

P(E)P(F∣E)P(G∣(E∩F))

P(E)P(F∣E)P(G∣EF))

Both (a) and (b)