Question

Drink coffee Do not drink coffee Total Drink water 0.3 0.24 0.54

Do not drink water 0.25 0.21 0.46 Total 0.55 0.45 1.00
Let A represent drinking coffee and B represent drinking water.
Which statement is true?
Drinking coffee and drinking water are not independent events because P(A|B)≠P(A)and P(B|A)≠P(B).
Drinking coffee and drinking water are not independent events because P(A|B)=P(A) and P(B|A)=P(B).
Drinking coffee and drinking water are independent events because P(A|B)≠P(A) and P(B|A)≠P(B) .
Drinking coffee and drinking water are independent events because P(A|B)=P(A)and P(B|A)=P(B).

Answer 1

Drinking coffee and drinking water are independent events because

P(A|B)=P(A)and P(B|A)=P(B)

Explanation:

Drinking coffee and water are independent events. People can choose to have both, none or any one. It is on their own will. Those who drink coffee can also drink water. The total of people who drink coffee may include those who drink water also.