Question

The probability of a given event is . If the experiment is repeated n times, what is the probability that the event does not occur in any of the trials?
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Answer 1

Events with two possible outcomes are modelled by the following equation: if the probability of success is $p$, you have $n$ trials, and X is the random variable representing the number of times the event with probability p happens, you have

$\displaystyle P(X=k) = \binom{n}{k} p^k (1-p)^{n-k}$

Now, you want X=0 (i.e. the event never happens). So, you have

$\displaystyle P(X=0) = \binom{n}{0} p^0 (1-p)^{n-0} = (1-p)^n$

Answer 2

Answer:(x-1^n/x)

Step-by-step explanation: