clare streams a classical music station while shes doing chores on the weekends. here are the types of…

clare streams a classical music station while shes doing chores on the weekends. here are the types of musical pieces she has listened to so far this weekend: overture, symphony, sonata, concerto, symphony, sonata, overture, symphony, opera, sonata, concerto. based on the data, what is the probability that the next piece clare listens to will be a concerto? write your answer as a fraction or whole number.
Answer
Explanation:
Step1: Count total pieces
There are 10 musical - pieces in total (overture: 2, symphony: 3, sonata: 3, concerto: 2, opera: 1).
Step2: Calculate probability
The probability $P$ of an event is the number of favorable outcomes divided by the total number of outcomes. The number of favorable outcomes (concerto) is 2, and the total number of outcomes is 10. So $P=\frac{2}{10}=\frac{1}{5}$.
Answer:
$\frac{1}{5}$