Eating dinner and eating desserts aren't independent events because P(dinner).P(dessert) = (0.8)(0.7) = 0.56, which is not equal to P(dinner and dessert) = 0.4.
What are independent events?
An independent event is an event that has no connection to another event’s chances of happening (or not happening). In other words, the event has no effect on the probability of another event occurring.
Given A and B as two events.
A and B are independent events if P(A∩B) = P(A).P(B).
P(dinner) = 80/100 = 0.8
P(dessert) = 70/100 = 0.7
P(dinner and dessert) = 0.4
P(dinner).P(dessert) = (0.8)(0.7) = 0.56
P(dinner).P(dessert) ≠ P(dinner and dessert)
Thus, P(dinner) and P(dessert) aren't independent events.
Learn more about independent events here
https://brainly.com/question/12619550
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