1.

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.

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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