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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? Simplify your answer and write it as a fraction or whole number. $\newline$ $P(\text{encore}) = \_\_\_$

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Experimental probability

Full solution

Q. 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? Simplify your answer and write it as a fraction or whole number.

\newline

P(\text{encore}) = \_\_\_

Question Prompt: The question prompt is: ＂What is the experimental probability that the band will play an encore at its next show?＂
Formula for Probability: To find the experimental probability, we use the formula $P(\text{encore}) = \frac{\text{Number of successful outcomes}}{\text{Total number of outcomes}}$ . In this case, the successful outcome is the band playing an encore, which has happened $2$ times out of the last $6$ shows.
Calculation: We plug the numbers into the formula: $P(\text{encore}) = \frac{2}{6}$ .
Simplification: We simplify the fraction $\frac{2}{6}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . So, $\frac{2}{6}$ simplifies to $\frac{1}{3}$ .

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