A Letter Problem

A writes a letter to his friend B and gives it to his son to post it in a letterbox , the reliability of the son being \( \frac{3}{4} \). The probability that a letter posted will get delivered at all is \( \frac{8}{9} \). At a later date A hears from B that the letter had not reached him.

Find the probability that the son did not post the letter at all.

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