Three men make the following statements regarding a murder that they are suspected of. Two of the men are lying, and one of them is telling the truth. Only one of the men committed the crime. Which of the three is most likely to be innocent?
A. I didn’t do it.
B. C did it.
C. A did it.
Wednesday, December 9, 2009
An Improbable Route
Imagine that you live on the moon. One day you see a number 14 bus. What is the most likely number of bus routes on the moon?
The Wrapped String Problem
Imagine you have a piece of string long enough to stretch around the earth (40,074 km or 4,007,400,000 cm). Then you take an extra meter of string and add it to the string around the Earth. Now you spread this extra string around the Earth, supporting it somehow, so that the string forms a circle off the ground. Imagine the newly spread string traces the trajectory of a satellite.
How high off the ground would the string be?
Repeat the experiment with a basket ball, also adding one meter of string. How high off the basketball would the string be?
How high off the ground would the string be?
Repeat the experiment with a basket ball, also adding one meter of string. How high off the basketball would the string be?
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