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MHB Probability question involving finding gain or loss of a game
- Thread starter Milly
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- Gain Game Loss Probability
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The discussion revolves around a probability question related to calculating the gain or loss in a game. A user attempted a calculation using the formula $\frac{1}{13}$ x 30 + $\frac{12}{13}$ x $\frac{47}{51}$ x -10 but found it incorrect. Another participant asserts that the correct answer is 2/9 p, questioning the validity of the initial calculation. The original poster confirms they have the answer but are unsure of the solving process. The conversation highlights confusion over the correct method to arrive at the solution.
For the sake of argument, lets assume this is, in fact, a right triangle with a rectangle inscribed in it.
Here is what looks like a very elegant solution:
Triangles A and B are similar
a/4=2/b
ab=8
But what is happening in that second line? Is there a property of similar triangles I'm forgetting?
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