Asked by Helen
                Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them.
How many $9$'s do I have to add before the expected value is at least $8$?
            
            
        How many $9$'s do I have to add before the expected value is at least $8$?
Answers
                    Answered by
            Damon
            
    $10$ slips of paper
How many ???????
    
How many ???????
                    Answered by
            Damon
            
    Oh , it must be 10
8 = [8*3 + 9*2 + 9*n ] /(10 + n)
80 + 8 n = 24 + 18 + 9 n
n = 80 - 24 - 18
    
8 = [8*3 + 9*2 + 9*n ] /(10 + n)
80 + 8 n = 24 + 18 + 9 n
n = 80 - 24 - 18
                    Answered by
            himani
            
    The answer isn't 10. It is 80 - 24 - 18 = 38.
    
                    Answered by
            GHASTLY
            
    I think that is what Damon meant. I think Damon was just wondering what $10$ meant.
    
                    Answered by
            {Unavailable}
            
    Is this copied from AoPS? I can see the exact same question there. If you need help you shouldn't come here.
    
                    Answered by
            1212
            
    Bruh this is AOPS
    
                                                    There are no AI answers yet. The ability to request AI answers is coming soon!
                                            
                Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.