Trials of a random experiment are called Bernoulli trials, if they satisfy certain conditions. Which is the correct condition?
A. There should be infinite number of trials.
B. The trials should be independent.
C. Each trial has exactly two outcomes: success and failure.
D. The probability of success changes in each trial.
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → B and C only
Trials of a random experiment are Bernoulli trials if:
(i) the number of trials is finite;
(ii) the trials are independent;
(iii) each trial has exactly two outcomes, success and failure;
(iv) the probability of success is the same in each trial.
So the trials must be finite in number, independent, two-outcome, with a constant probability of success.
Checking the statements
(A) There should be infinite number of trials. — Incorrect. The number of trials must be finite.
(B) The trials should be independent. — Correct. Independence is condition (ii).
(C) Each trial has exactly two outcomes: success and failure. — Correct. This is condition (iii).
(D) The probability of success changes in each trial. — Incorrect. It must stay the same in every trial.
NCERT Exemplar:
Probability
