ent in a school can join the Eminem Society (E), Miley Society (M) and Selena Society (S). Information regarding the students joining these societies are as follows: P(E) = 0.4, P(E ∪ M) = 0.65, P(E ∪ S) = 0.8, P(E ∩ M) = 0.15, P(E ∩ S) = 0.2, P(M ∩ S) = 0.2 and P(E ∪ M ∪ S) = 0.95 A student is selected at random from the school. Find the probability that the student is (i) a member of Miley Language Society, (ii) a member of all the three societies, (iii) not a member of any society

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A student in a school can join the Eminem Society (E), Miley Society (M) and Selena Society (S). Information regarding the students joining these societies are as follows:

P(E) = 0.4, P(E ∪ M) = 0.65, P(E ∪ S) = 0.8, P(E ∩ M) = 0.15, P(E ∩ S) = 0.2, P(M ∩ S) = 0.2 and P(E ∪ M ∪ S) = 0.95

A student is selected at random from the school. Find the probability that the student is

(i) a member of Miley Language Society,

(ii) a member of all the three societies,

(iii) not a member of any society

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