Question

Filip goes to a movie theater on weekends. On any given weekend, there is a 50% chance he will buy popcorn, there is a 40% chance he will buy juice, and there is a 20% chance he will buy both popcorn and juice. Mathematically determine whether the two events “buy popcorn” and “buy juice” are independent events. Enter 1 for dependent or 2 for independent.(1 point)

Answer 1

P(Pop) = 0.5, P(Juice) = 0.4, P(Pop ∩ Juice) = 0.2. Since 0.5 × 0.4 = 0.2 = P(Pop ∩ Juice), the events are independent. Answer: 2