Mathematics

Karina Yates

10 March, 18:32

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.