There is a 70% chance that a person eats dinner, a 50% chance a person eats dessert and a 35% chance the person will eat dinner and dessert. Which of the following is true?
A. Eating dinner and eating dessert are dependent events because P (dinner) * P (dessert) = 0.7*0.5=0.35 which is equal to P (dinner and dessert) = 0.35.
B. Eating dinner and eating dessert are independent events becauseP (dinner) - P (dessert) = 0.7-0.5=0.2 which is less than P (dinner and dessert) = 0.35.
C. Eating dinner and eating dessert are dependent events because P (dinner) - P (dessert) = 0.7-0.5=0.2 which is less than P (dinnerand dessert) = 0.35.
D. Eating dinner and eating dessert are independent events because P (dinner) * P (dessert) = 0.7*0.5=0.35 which is equal to P (dinnerand dessert) = 0.35.
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