Question

A child removes two randomly chosen letters of the message HURRY HOME that is attached on a billboard in a playground. His illiterate mother puts the two letters back in a random order. What is the probability that HURRAY HOME appears again?

Answer 1

The probability that the phrase 'HURRAY HOME' appears again is 1/28.

Step-by-step explanation:

The question asks for the probability that the phrase "HURRAY HOME" appears again after a child removes two randomly chosen letters from the phrase "HURRY HOME" and his illiterate mother puts the two letters back in a random order. We can solve this problem by counting the total number of possible outcomes and the number of favorable outcomes. There are 10 letters in the original phrase, so there are C(10,2) = 45 ways to choose 2 letters. After the child removes 2 letters, there are C(8,2) = 28 ways to choose 2 letters for the remaining letters in the phrase. Only one of these 28 ways will result in the phrase "HURRAY HOME". Therefore, the probability is 1/28.