plotting count of zeros and ones in a dataframe

Try this runnable code:

import pandas as pd
from io import StringIO
from matplotlib import pyplot

data2 ="""Index     Name        Detection
0   name1           0
1   name2           0
2   name3           0
3   name1           1
4   name3           1
5   name2           1
6   name1           1
7   name1           0"""

df2 = pd.read_csv(StringIO( data2 ), sep='\s+', index_col='Index', engine='python')
print(df2)
result = df2.groupby(['Name']).count()
print()
print(result)

result.plot(kind='bar')

Output text:

        Name  Detection
Index                  
0      name1          0
1      name2          0
2      name3          0
3      name1          1
4      name3          1
5      name2          1
6      name1          1
7      name1          0

       Detection
Name            
name1          4
name2          2
name3          2

Output plot:

Edit

Updated code:

import pandas as pd
from io import StringIO
from matplotlib import pyplot

data2 ="""Index     Name        Detection
0   name1           0
1   name2           0
2   name3           0
3   name1           1
4   name3           1
5   name2           1
6   name1           1
7   name1           0"""

df2 = pd.read_csv(StringIO( data2 ), sep='\s+', index_col='Index', engine='python')
result = df2.groupby(by=['Name','Detection']).size().reset_index()
result.rename(columns={0:"count"}, inplace=True)
# plot bar graph
result.set_index(["Name","Detection"])['count'].unstack().plot.bar()

Output plot:

Note that

result.set_index(["Name","Detection"])

is the dataframe in this form:

                 count
Name  Detection       
name1 0              2
      1              2
name2 0              1
      1              1
name3 0              1
      1              1

and it is the essence of your question rather than the bar plot of it. The dataframe now has 2 indexes that reveal the count values clearly for each paired indexes of (name, detection), more intuitive than the original. The 2-indexes dataframe can be used to created the required bar plot more easily.

You miss to focus on the processing of the dataframe and make people think that you ask for something that already have good answer.