Is it possible to sample a dataframe based on multiple weights?

df = pd.DataFrame({'A':[0,0,1], 'B':[0,1,0]})
print(df.sample(n=1, random_state=0, weights='B'))

If I set weights=['A','B'], I get ValueError: could not convert string to float: 'A'.

Is there any way around this to weight the sample based on both columns?