Quote:
Originally Posted by itsromiljain
Question:-Two friends decide to meet at a place between 4-5 o clock..
anyone who comes there first waits for the other for 10 mins and then leaves..
whats the probability that they will meet??
Please solve it and tell me the approach.
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Let's say one guy comes x minutes after 4 and the other guy comes y minutes after 4. Clearly 0<=x,y<=60. Consider a square bound by the lines x=0, y=0, x= 60 and y = 60. This square is obviously collection of all the points (x,y) which signify the time of arrival of the two friends.
The two friends can come at any time in any order though they will meet only if |x-y|<=10. Let's draw the lines |x-y|<=10, Thus the required probability is the ratio of area of square contained between the two lines to the total area of the square = 11/36
P.S.: tried attaching the diagram a hazaar baar, still upload failed :(.