GingerAle

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After re-reading this question, I realize this is not the same question answered in the link. However, the method for determining the solution is similar. The sample space for the die is notably smaller, (one (1) six in two (2) attempts instead of two (2) sixes in two (2) attempts), while the sample space for the coins remains the same.   

Amy, perhaps you would like to attempt a solution for this after reviewing solution for the more complex dynamic.

Hi Amy,

On the surface, that probability problem seems simple.  The math is simple, but the logic to arrive at the math requires meticulous care.

This question is one on an active qualifying quiz for Math Camp.

This question is one on an active qualifying quiz for Math Camp.

With the given parameters, the mass of the hockey puck is NOT required to solve this problem.

However, intelligence slightly above that of a hockey puck IS required to solve this problem.

It’s great to have you back, EP. You are my favorite member to troll.  

GA

I am curious why the propagation of EM (radio) waves from a mobile base station in an urban (or any) environment would follow an inverse 4th-power law, instead of the inverse square law that is typically associated with EM wave propagation.

Perhaps “Section 3.2.2” might give some context for its use in this case. Normally, the inverse 4th-power law is used as a baseline for EM waves reflected back to a radar transmitter, or as a baseline to correct errors in time-domain reflectometry measurements. There may be other uses; even so, this hypothetical question appears inconsistent with the physics equations relating energy densities over distance. 

At this point, I assume the mathematician who created the text book question was unfamiliar with the correct application of the related physics equations, and chose an inconsistent scenario as an application for a hypothetical question using inverse 4th-power law. 

If there is an alternative, I’d really like to know what it is.......

How many mathematicians does it take to change a light bulb? How many physicists? How many engineers?  

GA

Wonderful Tiggsy!

Except, without a bloody diagram, I’m lost to where B’ and C’ are supposed to be, relative to the circle.  Are B’ and C’ positioned such that when they are joined by a vertical line, the line forms a tangent on the opposite side of the circle, mirroring the tangent of the line BC?

GA

Christ! Anyone that can decipher your bullshit infused slop could more easily figure out how to solve the problem without it.

Actually it’s “Field’s Metal,” the metal alloy that melts at 144°F.

This is the principal alloy forming the composite medal known as the “Fields Metal,” which is analogous to the Ig Nobel Prize.

The Ig Nobel Prize is awarded to those who make trivial contributions in scientific research, especially if a significant amount of time and research funds are invested in the process.  

The Fields Metal is awarded to those who have advanced skills at stating the obvious and presenting fake math in the form of pseudo mathematical prestidigitation. One advanced method is to use one of the organic Houdini processing algorithms, where one or more mathematical theorems and the numerical data are fed to a bull. After the bull digests it and dumps the Pi, the prestidigitator reveals his true self as a mutant dung beetle –aka a bullshit bug, and presents the wondrous BS solution for all to admire.      

Our forum’s wunderkinder do not presently have these skills, but they have the talent to easily learn them. At present their skills allow them to make advanced trivial contributions to trivial math problems, skillfully stating the obvious and burying most of the actual process in bullshit.

If you mentor them Mr. BB, they will become the youngest winners of the Fields Metal in history. 

GA