John-and-Ghina-have-a-date-at-a-given-time-and-each-will-arrive-at-the-meeting-place-with-a-delay-between-0-and-1-hour-with-all-pairs-of-delays-being-equally-likely-The-first-arrive-will-wait-for-1

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Question Number 132548 by liberty last updated on 15/Feb/21

$$\mathrm{John}\mathrm{and}\mathrm{Ghina}\mathrm{have}\mathrm{a}\mathrm{date}\mathrm{at}$$$$\mathrm{a}\mathrm{given}\mathrm{time},\mathrm{and}\mathrm{each}\mathrm{will}\mathrm{arrive}$$$$\mathrm{at}\mathrm{the}\mathrm{meeting}\mathrm{place}\mathrm{with}\mathrm{a}\mathrm{delay}\mathrm{between}$$$$0\mathrm{and}1\mathrm{hour},\mathrm{with}\mathrm{all}\mathrm{pairs}\mathrm{of}$$$$\mathrm{delays}\mathrm{being}\mathrm{equally}\mathrm{likely}.$$$$\mathrm{The}\mathrm{first}\mathrm{arrive}\mathrm{will}\mathrm{wait}\mathrm{for}$$$$15\mathrm{minutes}\mathrm{and}\mathrm{will}\mathrm{leave}\mathrm{if}$$$$\mathrm{the}\mathrm{other}\mathrm{has}\mathrm{not}\mathrm{yet}\mathrm{arrived}.\mathrm{What}$$$$\mathrm{is}\mathrm{the}\mathrm{probability}\mathrm{that}\mathrm{they}\mathrm{will}\mathrm{meet}?$$

Answered by bobhans last updated on 15/Feb/21

$$igot\frac{7}{16}$$

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