Question 9 - Bernoulli Trials - Chapter 13 Class 12 Probability

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Question 9 Six balls are drawn successively from an urn containing 7 red and 9 black balls. Tell whether or not the trials of drawing balls are Bernoulli trials when after each draw the ball drawn is (i) replaced If a trial is Bernoulli, then
There is finite number of trials
They are independent
Trial has 2 outcomes
i.e. Probability success = P
then Probability failure = q = 1 – P
(4) Probability of success (P) is same for all trials
Let,
Probability of success = Probability of drawing red ball
p = 7/16
Here,
Number of trial is finite
There are two outcomes
(3) Probability of success (p) does not change in trial, as Probability of drawing red ball is same
Hence, it is a Bernoulli trial
Question 9 Six balls are drawn successively from an urn containing 7 red and 9 black balls. Tell whether or not the trials of drawing balls are Bernoulli trials when after each draw the ball drawn is (ii) not replaced in the urn.If a trial is Bernoulli, then
There is finite number of trials
They are independent
Trial has 2 outcomes
i.e. Probability success = P
then Probability failure = q = 1 – P
(4) Probability of success (P) is same for all trials
Let
Probability of success = Probability of drawing red ball
In first trial
7 red & 9 black ball
Probability drawing red (p) = 7/16
In second trial
Since, Probability of success (p) changes in all trials,
Hence, the trials are not Bernoulli trial
If Ball drawn is red in 1st trial
6 red ball & 9 black ball
Probability drawing red = p = 6/15
If Ball drawn is black in 1st trial
7 red ball & 8 black ball
Probability drawing red = p = 7/15

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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