Question

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 1

To find the experimental probability that the band will play an encore at its next show, we use the formula for experimental probability:

\[
P(\text{encore}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of trials}}
\]

In this case, the number of favorable outcomes (the shows where they played an encore) is 2, and the total number of trials (the total shows) is 6.

So we calculate:

\[
P(\text{encore}) = \frac{2}{6}
\]

Now we can simplify the fraction:

\[
P(\text{encore}) = \frac{1}{3}
\]

Therefore, the experimental probability that the band will play an encore at its next show is:

\[
\boxed{\frac{1}{3}}
\]