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

1 Answer
Jan 25, 2017

(x1x)n

Explanation:

Let say p is the probability and event occurs and q an event does not occur.

p=1x,q=1(1x)=x1x

P(X=r)=nCrprqnr

r=0 when the event does not occur

P(X=0)=nC0(1x)0(x1x)n

P(X=0)=11(x1x)n

P(X=0)=(x1x)n