Thread: Determining the probability

An infinite squence of independent trails is to be performed. Each trail results in a success with probability p and a failure with probability 1-p .What is the probability that
i) at least 1 success occurs in the first n trails;
ii) exactly k success occur in the first n trails;
iii) all trails result in success ?

Originally Posted by zorro

An infinite squence of independent trails is to be performed. Each trail results in a success with probability p and a failure with probability 1-p .What is the probability that
i) at least 1 success occurs in the first n trails;
ii) exactly k success occur in the first n trails;
iii) all trails result in success ?

i) 1 - Pr(X = 0).

ii) .

iii) .