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Intersection of Sets

A letter is k...

Question

A letter is known to have come either from $M A H A R A S H T R A$ and $R A J A S T H A N$ . On the envelope just two consecutive letters $R A$ are visible. What is the probability that the letter has come from $M A H A R A S H T R A$ ?

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Solution

Total no. of $R A^{'} s$ in
$M A H A R A S H T R A = 2$
Total no. of $R A^{'} s$ in
$R A J A S T H A N = 1$
Possibilities of $R A$ being seen $= 3$
$P$ (letter from maharashtra) $= \frac{2}{3}$ Ans

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