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)

1. Dependent

The events "buy popcorn" and "buy juice" are dependent events because the probability of buying juice changes if we know that popcorn was also bought.

It is 2 independent not dependent thanks baaaa

Apologies for the confusion. Since the probability of buying juice (40%) is not affected by whether popcorn is bought or not, the two events "buy popcorn" and "buy juice" are indeed independent events. Thank you for the clarification.