Given that every seventh person in line will 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 4 decimal places, if necessary.

0.857

Step-by-step explanation:

Given that :

Every seventh person gets a free box of popcorn ; then not getting a free box of popcorn means you're not the 7th person inline.

However, since the order of arrangement is unknown, but one person out of every 7 gets ;

Probability of getting a popcorn is hence ;

p(getting popcorn) = 1/7

Probability of not getting will then be its complement :

1 - (1/7) = 6/7 = 0.857

x=6 and x=3

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answer: the answer is ann