TCS Company

After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?
a)0
b)12/212
c)11/12
d)1/12

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TCS Other Question

1/3rd of a number is 3 more than the 1/6th of a number then find the number? There are two box, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is
a)3/4
b)14/19
c)37/38
d)1/2