Example 30 - Chapter 13 Class 12 Probability (Term 2)
Last updated at Feb. 15, 2020 by Teachoo
Transcript
Example 30 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 Example 30 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
Examples
Example 1
Example 2
Example 3
Example 4
Example 5 Important
Example 6
Example 7 Important
Example 8
Example 9 Important
Example 10
Example 11 Important
Example 12 Important
Example 13 Important
Example 14 Important
Example 15 Important
Example 16
Example 17 Important
Example 18 Important
Example 19 Important
Example 20 Important
Example 21 Important
Example 22
Example 23
Example 24 Important
Example 25 Important
Example 26 Important
Example 27 Deleted for CBSE Board 2022 Exams
Example 28 Important Deleted for CBSE Board 2022 Exams
Example 29 Important Deleted for CBSE Board 2022 Exams
Example 30 Important Deleted for CBSE Board 2022 Exams You are here
Example 31 Important Deleted for CBSE Board 2022 Exams
Example 32 Important Deleted for CBSE Board 2022 Exams
Example 33 Important
Example 34 Deleted for CBSE Board 2022 Exams
Example 35 Deleted for CBSE Board 2022 Exams
Example 36 Important
Example 37 Important
Chapter 13 Class 12 Probability (Term 2)
Serial order wise
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.