1.

The last 5 alphabets are written at random then the probability that the letters y and z are written down side by side is : -

Answer»

2/5



The 5 letters can be written in 5! ways.
Then n(S) = 5!Let E be the EVENT that the letters y and Z are written down SIDE by side.
(i.e., y and z are always come together).
Now the alphabets v, w, x and (yz) can be written in 4! ways.
And y, z written in 2 different ways.
Then, n(E) = 4! x 2!
THEREFORE p(E) = 4! x 2!/5! = 2/5.
Hence the answer is 2/5. 


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