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ashtonsilvers2003
09.11.2021 •
Mathematics
A bag contains 5 gold marbles, 10 silver marbles, and 25 black marbles.
Someone offers to play this game: You randomly select one marble from the
bag. If it is gold, you win $10. If it is silver, you win $5. If it is black, you lose
$2. What is your expected value if you play this game? Round your answer
to the nearest cent.
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Ответ:
Let's r the ration
We suppose x ≠0
x=r*(x-2)==>r=x/(x-2)
x+3=r*x==> (x+3)/x=x/(x-2)==>(x+3)(x-2)=x²
==>x²+3x-2x-6=x² ==>x-6=0==>x=6
x-2=6-4=4
x=6
x+3=6+3=9
6=4*3/2
9=6*3/2
Ration 3/2
First term: 4