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 Dec18 awarded Notable Question May2 awarded Popular Question Mar27 comment Probability that a quadratic polynomial with random coefficients has real roots Thanks for answering. I upvoted your answer, but didn't select it as answer because I ended up doing it Shai Covo's way. Yours would probably be easier if my calculus wasn't so rusty, though. Mar27 comment Probability that a quadratic polynomial with random coefficients has real roots Thanks a lot. I'll still need to think about it, but now I'm sure you've given me all the basis I needed. Mar27 accepted Probability that a quadratic polynomial with random coefficients has real roots Mar27 comment Probability that a quadratic polynomial with random coefficients has real roots Taking log on both sides, I want $P(-2(-\log B)\geq\log 4-\left[-\log A+\left(-\log C\right)\right])$, right? With $-\log B$ exponential(1) and $\left[-\log A+\left(-\log C\right)\right]$ a gamma distribution. I'm still having trouble getting to the integral you wrote. I'm just starting to study about pdfs, so a lot is new to me. Where does $\log 4$ goes? How do I compare two random variables to see the prob. that one is greater? I was hoping you could walk this newbie a bit further along the path -- or provide me with some reference on manipulating random variables. Thanks! Mar27 comment Probability that a quadratic polynomial with random coefficients has real roots Thanks for answering. I'm having a bit of trouble calculating all those distributions. Do you have any references that could help me out? Preferably online, but a good book will do as well. I'm just starting to learn about probability distributions, so I'm still not sure how to manipulate random variables algebraically. Again, thank you. Mar27 asked Probability that a quadratic polynomial with random coefficients has real roots Mar21 awarded Scholar Mar21 accepted Choosing probabilities as to make a coin game fair Mar21 awarded Student Mar21 awarded Editor Mar21 revised Choosing probabilities as to make a coin game fair formatting Mar21 comment Choosing probabilities as to make a coin game fair This is really clever. Is this kind of recursive thinking common in a lot of probability problems? Mar20 awarded Supporter Mar20 asked Choosing probabilities as to make a coin game fair