Answer:
Probability = 0.83
Step-by-step explanation:
Given:
A band sold out 15 of its last 18 shows.
Let the event of selling a show be 'n'.
Now, total number of shows (S) = 18
Number of shows sold (n) = 15
Therefore, the probability of selling a show out of 18 shows is given as:
[tex]P(n)=\frac{\textrm{Number of shows sold}}{\textrm{Total number of shows}}\\\\P(n)=\frac{15}{18}=\frac{5}{6}\approx 0.83[/tex]
Now, the probability that the band's next show will be sold out will be same as the probability of selling a show.
Therefore, the experimental probability that the band's next show will be sold out is [tex]\frac{5}{6}[/tex] or 0.83.