Which of the following are true for the trials of a random experiment to be a Bernoulli’s trial?
(A) There should be finite number of trials.
(B) The trials should be dependent.
(C) Each trial should have at least two outcomes.
(D) The probability of success remains same in each trial.
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → (A) and (D) only
Trials of a random experiment are Bernoulli trials when:
the number of trials is finite;
the trials are independent;
each trial has exactly two outcomes, success or failure;
the probability of success is the same in every trial.
So the trials must be finite in number, independent, with exactly two outcomes each and a constant probability of success.
Checking the statements
(A) There should be finite number of trials. — Correct. The number of trials must be finite.
(B) The trials should be dependent. — Incorrect. The trials must be independent.
(C) Each trial should have at least two outcomes. — Incorrect. Each trial must have exactly two outcomes, not more.
(D) The probability of success remains same in each trial. — Correct. The probability of success p is constant.
CBSE Applied Mathematics (Class XII):
Binomial Distribution
