A leter is taken out at random from the word 'ASSAM' and a leter is taken out at random from the word 'NAGALAND'. What is the probability that the two leters are the same?
In ASSAM, we have 2As, 2Ss, 1 M In NAGALAND, we have 2Ns, 3As, 1G,1L, 1D 1 letter is taken from each word-That needs to be the same. So, these can be As only. So, probability of A taken from ASSAM is 2C1/5C1 = 2/5 and A from NAGALAND is 3C1/8C1 = 3/8 So, required probability = (2/5)*(3/8) = 3/20
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