Question

salesperson	gourmet	single cup	filters	total
connor	142	325	30
paige	42	125	40
mallory	71	75	10
			40

are the events mallory and gourmet independent ? explain

Answer 1

salesperson	gourmet	single cup	filters	total
connor	142	325	30	497
paige	42	125	40	207
mallory	71	75	10	156
total	255	525	80	860

two events are independnet if P(A)P(B) = P(A and B)  
  
P(mallory = 156/860 =    0.1814
P(gourmet) = 255/860=   0.2965
  
P(mallory and gourmet) = 142/860=   0.1651
  
P(mallory) * P(gourmet) =0.1814 *0.2965 =    0.0538

since, P(mallory) * P(gourmet) ╪ P(mallory and gourmet)

so, events are not independnet