a band played an encore at 2 of its last 6 shows. what is the experimental probability that the band will…
a band played an encore at 2 of its last 6 shows. what is the experimental probability that the band will play an encore at its next show? write your answer as a fraction or whole number. p(encore) =
Answer
Explanation:
Step1: Recall probability formula
The experimental - probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$.
Step2: Identify favorable and total outcomes
The number of times the band played an encore (favorable outcomes) is 2, and the total number of shows (total outcomes) is 6.
Step3: Calculate the probability
$P(\text{encore})=\frac{2}{6}=\frac{1}{3}$.
Answer:
$\frac{1}{3}$