Given that every fifteenth 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.

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facundo3141592 facundo3141592 · Answer 1 · 2020-09-29T02:58:51+02:00

Answer:

We know that every 15th person gets a free box of popcorn.

This depends on order, but nobody knows what is his actual position, so we can assume that:

of 15 people, 1 will get a free box of popcorn.

Then the probability of getting free popcorn is:

1/15

And the negation, (the probability of not getting a free box) is:

1 - 1/15 = 14/15 = 0.93...

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ibiscollingwood ibiscollingwood · Answer 2 · 2022-02-25T12:20:03+01:00

The probability of not getting a free box is, [tex]\frac{14}{15}[/tex]

Given that, from 15 people, 1 will get a free box of popcorn.

Then the probability of getting free popcorn is:

[tex]P(E)=\frac{1}{15}[/tex]

the probability of not getting a free box is,

[tex]P=1-P(E)\\\\P=1-\frac{1}{15}=\frac{14}{15}[/tex]

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