there is an 80% chance that a person eats dinner a 70% chance a person eats dessert and a 40% chance the person will eat dinner and dessert. which of the following is true
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@ElToro48 You need to post the choices if you expect somebody to help you.
A.eating dinner and eating dessert are dependent events because p(dinner) -p(dessert) =0.8-0.7=0.1 which is less than p(dinner and dessert) = 0.4
B.Eating dinner and eating dessert are dependent events because p(dinner)x p(dessert)= 0.8 x 0.7=0.56 which is not equal to p(dinner and dessert) =0.4
C.eating dinner and eating dessert are independent events because p(dinner) x p(dessert)=0.8 x 0.7=0.56 which is not equal to p(dinner and dessert) = 0.4
D.eating dinner and eating dessert are independent events because p(dinner) - p(dessert)=0.8 - 0.7=0.1 which is less than p(dinner and dessert) = 0.4
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Independent events have no effect on the occurrence (or non-occurrence) of each other.
Events A and B are independent if, and only if
\[\large P(A\cap B)=P(A) \times P(B)\]
You should now be able to choose correctly.