# math

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the roller coaster has two seats in each of 12 rows. Riders are assigned to seats in the order they arrive. if you ride this roller coaster once, what is the probablilty of getting coveted first row? How many times must you ride in order to have atleast a 95% chance of getting a first row seat atleast once?

• math -

If all seats fill every time, then the probability of getting a front row seat is 1/12.

To have a 95% chance if getting a front row seat, you must reduce the probabilty of not getting a seat to 0.05

(11/12)^N = 0.05

N log (11/12) = log .05

solve for N

Solve for N

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