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The probability that a MBA aspirant will join 11M is \(\frac{2}{5}\)and that he will join XLRI is \(\frac{1}{3}\). Find the probability that (a) he will join 11M or XLRI (b) he will join neither 11M nor XLRI. |
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Answer» Let A: MBA aspirant will join TIM ⇒ P(A) = \(\frac{2}{5}\) B: Will join XLRI ⇒ P(B) = \(\frac{1}{3}\) A ∩ B = 9 ∴ P(Join hI Mor x LRl) = P(A∪ B) = P(A) + (PB) = \(\frac{2}{5}\) + \(\frac{1}{3}\) = \(\frac{11}{15}\) P(Neither llM nor x LRI) = P(A’∪ B’) = P(A∪ B)’ = 1 – P(A∪B) = 1 - \(\frac{11}{15}\) = \(\frac{15 - 11}{15}\) = \(\frac{4}{15}\) |
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