3. A movie company surveyed 1000 people. 229 people said they went to see the new movie on Friday, 256 sa they went on Saturday. If 24 people saw the movie both nights, what is the probability that a person chosen random saw the movie on Friday or Saturday? \( \begin{array}{ll}\text { a. } 0.413 & \text { c. } 0.461 \\ \text { b. } 0.437 & \text { d. } 0.485\end{array} \)

To find the probability that a randomly chosen person saw the movie either on Friday or Saturday, we can use the principle of inclusion-exclusion. We count the people who saw it on either day: Total who saw it on Friday or Saturday = (Number who saw it on Friday) + (Number who saw it on Saturday) - (Number who saw it on both nights) So, Total = 229 + 256 - 24 = 461. Now, to find the probability, we divide the total by the total number of surveyed people: Probability = Total who saw the movie / Total surveyed = 461 / 1000 = 0.461. The answer is c. 0.461. While the numbers may seem straightforward, understanding probabilities can mix things up in everyday scenarios! Whether it’s measuring your chances of finding the perfect parking spot or deciding whether to bring an umbrella, probability helps us weigh our options. This simple math can turn into a daily adventure in choices and outcomes! Speaking of ventures, let’s not forget that surveys can be a treasure trove of information! They often pave the way for movie companies to shape future films. Whether it’s tweaking a plot based on audience reactions or marketing strategies inspired by survey results, the movies we love are often crafted with our opinions in mind, making us part of the magic!