a coin is flipped 3 times and lands on heads each time. What is the probability of it landing on tails on the fourth flip?
2 answers:
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We're given
which immediately tells us that
In other words, swapping the limits of the integral negates its value.
Also,
The integral we want to compute is
which we can do by splitting up the integral at x = 4 and using the known values above. Then the integral we want is