Question
4. At registration, a student can select from Spanish ar German class, as well as Art, Music, or Theater. Create a tree diagram to represent the possible outcomes. a. What is the probabilify that o randomly selected student has enrolled in Spanish and Theater?
Ask by Bush Rogers.
Mar 06,2025 03:14
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Tutor-Verified Answer
Answer
The probability that a randomly selected student has enrolled in Spanish and Theater is \( \frac{1}{6} \).
Solution
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Bonus Knowledge
To visualize the possible outcomes for a student's registration, imagine a tree diagram starting with the first branching point for language selection. From that initial split, you can choose either Spanish or German. Each language then branches out further to three options: Art, Music, or Theater.
Now, if a student is randomly selecting courses, each language has 3 corresponding courses, making a total of 6 possible outcomes (Spanish Art, Spanish Music, Spanish Theater, German Art, German Music, German Theater). The student enrolling in Spanish and Theater represents 1 out of those 6 combinations, leading us to the conclusion: the probability that a randomly selected student is in Spanish and Theater is 1/6 or approximately 16.67%.
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