Recent content by bantalon

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    Graduate Solving a Lagrangian using an Ansatz

    We were working on some Lagrangian and trying to solve it using an ansatz. Due to some problems in the results we got, we started to doubt the correctness of the method in use. Here is a very simple Lagrangian which shows the problem very easily: L=\frac{1}{2}\dot{x}^{2}-gx We took m=1 for the...
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    Probability of taking different colored balls out of a jar

    Yes, this gives the exact same solution.
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    Probability of taking different colored balls out of a jar

    Homework Statement You are given a jar with 9 balls in it. 4 of which are red, 3 are green, and 2 are blue. The 9 balls are taken out of the jar one by one. What are the odds that the first 3 balls have 3 different colors? What are the odds that the last 3 ball have 3 different colors...