Considering the definition of probability, the probability that the first movie selected is an comedy movie and the second movie is a action film is 30%.
Probability is the greater or lesser chance that a given event will occur.
In other words, the probability establishes a relationship between the number of favorable events and the total number of possible events.
Then, the probability of any event A is defined as the ratio between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.
[tex]P(A)=\frac{number of favorable cases}{number of possible cases}[/tex]
The multiplication rule or product rule allows you to find the probability that event A and event B occur at the same time.
Two events A and B are dependent if the occurrence of one affects the occurrence of the other. For dependent events, the multiplication rule states that:
P(A∩B)= P(A)× P(B|A) (where P(B|A) indicates “the probability of ‘B’ having occurred ‘A’)
In this case, you know:
The probability that the first movie selected is an comedy movie and the second movie is a action film.
Once the first movie is selected, there are no longer 6 movies available. There are only 5, because one of the options is eliminated. So the occurrence of the first event affects the second event and the events are dependent.
Then, the probabilty can be calculated A:
Probability= [tex]\frac{3}{6}[/tex]× [tex]\frac{3}{5}[/tex]
Probability= 0.3= 30%
Finally, the probability that the first movie selected is an comedy movie and the second movie is a action film is 30%.
Learn more about probability:
brainly.com/question/3283947
#SPJ1
