Respuesta :
100 divided by 2 is 50 and then divided by 6 is 8.333333 but you just round that to 8$.
Answer: There are 12 dollars he would most likely get to keep.
Step-by-step explanation:
Number of silver dollars = 100
Number of times box he will remove all the dollars that are head up before shaking again = 2
We need to find the number of dollars at the sixth shake.
So, Number of times he shake at the sixth shake is given by
[tex]\frac{6}{2}=3[/tex]
So, Number of dollars he would mostly likely get to keep is given by
[tex]Initial\times (\frac{1}{2})^3\\\\=100\times (\frac{1}{2})^3\\\\=100\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\\\\=12.5\\\\=12\ approx.[/tex]
Hence, there are 12 dollars he would most likely get to keep.
