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This question already has an answer here:

Say that Amy tosses a coin 6 times, and Bob tosses a coin 5 times. What's the probability that Amy gets more heads than Bob does?

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marked as duplicate by Don Thousand, JMoravitz, Misha Lavrov, Community Oct 22 '18 at 3:49

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  • $\begingroup$ @RushabhMehta yes, I have. I wouldn't be asking otherwise! I was thinking that I could break it down case by case(i.e., Bob gets 0 heads, 1 heads, 2....5 heads) and then adding the probabilities that Amy has more, but I was wondering if there were a more efficient solution. $\endgroup$ – Justin Dee Oct 22 '18 at 3:31
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    $\begingroup$ @JustinDee "Have you tried this yourself?" ... "yes, I have. I wouldn't be asking othewise!" You should when posting a problem include what you have tried and where you got stuck in the main post before being asked about it. $\endgroup$ – JMoravitz Oct 22 '18 at 3:35
  • $\begingroup$ @JMoravitz okay, thank you very much! Next time, I will include my thought process and where I'm stuck! But I do think the question was unnecessary and a little rude, since for me it wasn't that basic. $\endgroup$ – Justin Dee Oct 22 '18 at 3:42
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    $\begingroup$ Arguably more important than just filtering out questions from people who aren't willing to put in any effort of their own, by asking for what the user has tried and where they got stuck and seeing their response we can know where to begin an explanation. Some times all that needs to be pointed out is a small arithmetic error and the question asker otherwise has a firm grasp on all relevant material. Other times the asker does not understand fundamental concepts and definitions that are clear prerequisites to answer the question, for example not even knowing what a probability is. $\endgroup$ – JMoravitz Oct 22 '18 at 3:47
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    $\begingroup$ Understanding what the question asker knows allows us to formulate an answer that is going to actually be helpful rather than an answer that on one extreme needlessly wastes time with mundane topics or on the other extreme skips and glosses over steps and definitions that shouldn't have been. $\endgroup$ – JMoravitz Oct 22 '18 at 3:49

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