Discussion Forum

October Monthly Contest

October Monthly Contest
ZhangCharles - 2020年10月7日 Wednesday 16:48
Question 9 says Scott arrives between 1pm and 2pm, but the solution says that Scott arrives between 12pm and 1pm.  Should not the figure be a 2 by 2 square in which 3/8 of the figure is shaded?

Also: Even if Scott arrived at 12pm to 1pm, should not the answer be 25, since the diagram given shows the area in which Mike arrives after Scott?

Re: October Monthly Contest
LensmireJohn - 2020年10月7日 Wednesday 18:29

Thanks for pointing this out!

The diagram and solution have been updated to better reflect the actual situation. It is a 1 by 2 square, but it needs to be drawn differently to reflect that Scott can arrive between 1pm and 2pm while Mike arrives between 12pm and 2pm.

In the 2 by 2 square you're thinking of, the bottom half is impossible (as that would be Scott arriving before 1pm), so that does not count towards the probability.

Hope you can see the updated picture and let us know if this helps!