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

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

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

Answered by bobhans last updated on 15/Feb/21

$${i}\:{got}\:\frac{\mathrm{7}}{\mathrm{16}} \\ $$

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