In a random experiment, a collection of trials is called Bernoulli trials if
A. The number of trials is infinite.
B. The trials are independent of each other.
C. Each trial has exactly two outcomes, defined as success and failure.
D. The probability of success will vary in each trial.
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → B and C only
Trials are Bernoulli trials if (i) their number is finite, (ii) they are independent, (iii) each has exactly two outcomes, success or failure, and (iv) the probability of success is the same in every trial.
So Bernoulli trials are finite in number, independent, with two outcomes each and a fixed probability of success.
Checking the statements
(A) The number of trials is infinite. — Incorrect. The number of trials is finite.
(B) The trials are independent of each other. — Correct. Independence is condition (ii).
(C) Each trial has exactly two outcomes, defined as success and failure. — Correct. This is condition (iii).
(D) The probability of success will vary in each trial. — Incorrect. It remains the same in each trial.
CBSE Applied Mathematics (Class XII):
Binomial Distribution
