Q3. One day your friend decides to play a game. He pulls up three boxes of chocolates and tells you that one of them has Toblerones in it, one has Ferrero Rochers in it, and the last one has both Toblerones and Ferrero Rochers in it. You can see that one of the boxes is marked "T" for Toblerones, another is marked "FR" for Ferrero Rochers, and the third is marked "T & FR" for both Toblerones and Ferrero Rochers. Your friend tells you that all three boxes are incorrectly marked. You get to pick one box, and your friend will pull a chocolate out of it and show you what it is. You get to do this only one time. After that, how can you determine-without a doubt-which box has Toblerones, which one has Ferrero Rochers, and which one has both?
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The term is closely associated with the work of mathematician and meteorologist Edward Lorenz. He noted that butterfly effect is derived from the metaphorical example of the details of a tornado (the exact time of formation, the exact path taken) being influenced by minor perturbations such as a distant butterfly flapping its wings several weeks earlier. Lorenz discovered the effect when he observed runs of his weather model with initial condition data that were rounded in a seemingly inconsequential manner. He noted that the weather model would fail to reproduce the results of runs with the unrounded initial condition data. A very small change in initial conditions had
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