UGC-NET | UGC NET CS 2016 Aug – II | Question 4
What is the probability that a randomly selected bit string of length 10 is a palindrome?
Explanation: In the given question we have a palindrome: in even length palindrome half length is fixed and rest is repeated. So, in 10 bit palindrome, we have 5 position to be filled with 2 choices each-
i.e. 25 choices for first half and 25 choices for second half.
Probability = favorable outcome / total outcome = 25/ 210 = 1 / 25 = 1 / 32.
So, option (B) is correct.
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