ten students are arranged in a row. every minute, a new student is inserted in the row (which can occur in the front and in the back as well, hence 11 possible places) with a uniform 1 11 probability of each location. then, either the frontmost or the backmost student is removed from the row (each with a 1 2 probability). suppose you are the eighth in the line from the front. what is probability that you exit the row from the front rather than the back?

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06-12-2022
Mathematics

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ten students are arranged in a row. every minute, a new student is inserted in the row (which can occur in the front and in the back as well, hence 11 possible places) with a uniform 1 11 probability of each location. then, either the frontmost or the backmost student is removed from the row (each with a 1 2 probability). suppose you are the eighth in the line from the front. what is probability that you exit the row from the front rather than the back?

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Tutorconsortium422 Tutorconsortium422 · Answer 1 · 2022-12-08T11:36:38-05:00

The probability that you exit the row from the front rather than the back is 1/2.

How do you determine probability?

The probability is calculated by dividing the total number of outcomes by the number of possible ways the event could occur. Probability and odds are two separate ideas. Odds are the possibility of something happening divided by the likelihood that it won't happen.

What is fundamental probability in math?

A probability is a number that expresses the possibility or likelihood that a specific event will take place. In addition to being expressed as percentages ranging from 0% to 100%, probabilities can also be expressed as proportions between 0 and 1.

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