A movie complex is showing three action films and three comedy films. You randomly select two different films to watch. Find the probability that you select a comedy to watch second, given that you randomly selected a comedy to watch first.Probability:
Question
A movie complex is showing three action films and three comedy films. You randomly select two different films to watch. Find the probability that you select a comedy to watch second, given that you randomly selected a comedy to watch first.Probability:
Solution
To solve this problem, we need to understand that the events are dependent, meaning that the outcome of the first event (the first movie you choose) affects the outcome of the second event (the second movie you choose).
Step 1: Identify the total number of movies. In this case, we have 3 action films and 3 comedy films, so we have a total of 6 movies.
Step 2: Calculate the probability of selecting a comedy film first. Since there are 3 comedy films out of 6 total films, the probability is 3/6 or 1/2.
Step 3: After selecting a comedy film first, there are now 5 total films left (2 comedy and 3 action). So, the probability of selecting a comedy film second is 2/5.
Step 4: The probability that you select a comedy to watch second, given that you randomly selected a comedy to watch first, is therefore 2/5.
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