Question

Given that every 27th person in line would get a coupon for a free box of popcorn at the movies what is the probability that you don’t get a coupon when you’re in line enter a fraction or round your answer to four decimal places if necessary

Answer 1

Step-by-step explanation

We are told that the coupon is given to every 27th person in line. This means that for every group of 27 people only one gets the free box of popcorn. So basically the probability of getting that coupon is 1/27. The probability of getting the coupon and that of not getting it must add up to 1. Then if P is the probability of not getting the coupon we get:

`(1)/(27)+P=1`

Then we substract 1/27 from both sides:

`\begin{gathered} (1)/(27)+P-(1)/(27)=1-(1)/(27) \\ P=(26)/(27) \end{gathered}`Answer

Then the answer is 26/27.