Question

A band sold out 15 of its last 18 shows. What is the experimental probability that the band's next show will be sold out?

Answer 1

Probability = 0.83

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:

`P(n)=\frac{\textrm{Number of shows sold}}{\textrm{Total number of shows}}\\\\P(n)=(15)/(18)=(5)/(6)\approx 0.83`

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
`(5)/(6)` or 0.83.