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A-man-arrives-at-a-bus-stop-in-between-12-00pm-and-12-15pm-Assuming-a-bus-arrives-the-bus-stop-every-15-minutes-find-the-probability-of-him-getting-a-bus-in-less-than-5-minutes-




Question Number 98142 by Ar Brandon last updated on 11/Jun/20
A man arrives at a bus stop in between 12:00pm and  12:15pm. Assuming a bus arrives the bus stop every  15 minutes, find the probability of him getting a bus in  less than 5 minutes.
$$\mathcal{A}\:\mathrm{man}\:\mathrm{arrives}\:\mathrm{at}\:\mathrm{a}\:\mathrm{bus}\:\mathrm{stop}\:\mathrm{in}\:\mathrm{between}\:\mathrm{12}:\mathrm{00pm}\:\mathrm{and} \\ $$$$\mathrm{12}:\mathrm{15pm}.\:\mathrm{Assuming}\:\mathrm{a}\:\mathrm{bus}\:\mathrm{arrives}\:\mathrm{the}\:\mathrm{bus}\:\mathrm{stop}\:\mathrm{every} \\ $$$$\mathrm{15}\:\mathrm{minutes},\:\mathrm{find}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{of}\:\mathrm{him}\:\mathrm{getting}\:\mathrm{a}\:\mathrm{bus}\:\mathrm{in} \\ $$$$\mathrm{less}\:\mathrm{than}\:\mathrm{5}\:\mathrm{minutes}. \\ $$

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