Subjects probability

Watch Probability

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Watch Probability


1. **State the problem:** Find the probability that a randomly selected student wears a watch from the group of 10 students. 2. **Identify students who wear a watch:** These are all the students inside the "Wears a watch" circle: Cleo, Matteo, Ruby, Keaton, Ethan, plus those in the intersection with glasses: Skyla, Bodhi, Elsie, and Beau who is in watch circle only. 3. **Count total students who wear a watch:** - Inside watch only: Cleo, Matteo, Ruby, Keaton, Ethan, Beau (6 students) - In intersection (wear both glasses and watch): Skyla, Bodhi, Elsie (3 students) Total wear watch = 6 + 3 = 9 4. **Calculate probability:** $$\text{Probability} = \frac{\text{number who wear watch}}{\text{total number of students}} = \frac{9}{10}$$ 5. **Answer:** The probability that a student picked at random wears a watch is $\frac{9}{10}$.