A group of people were asked what they drink during the day. They were asked whether they drink coffee, drink water, drink both coffee and water, or drink neither coffee nor water. The table shows the probabilities of the results.

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 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 not independent events because P(A∣∣B)=P(A) and P(B∣∣A)=P(B).