Solution:
Concept:
Independent events are those events whose occurrence is not dependent on any other event. For example, if we flip a coin in the air and get the outcome as Head, then again if we flip the coin but this time we get the outcome as Tail. In both cases, the occurrence of both events is independent of each other.
Dependent events: Two events are dependent when the outcome of the first event influences the outcome of the second event. The probability of two dependent events is the product of the probability of X and the probability of Y AFTER X occurs.
Since Amelia and Bryce are both picking movies from their own individual separate collections,
The probabilty of Amelia picking one movie will not affect the probability
Hence,
The final answer is