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Expert Teachers at KSEEBSolutions.com has created New Syllabus Karnataka 2nd PUC Electronics Model Question Papers with Answers 2019-20 Pdf Free Download of 2nd PUC Electronics Previous Year Board Model Question Papers with Answers are part of 2nd PUC Model Question Papers with Answers. Here We have given the Department of Pre University Education (PUE) Karnataka State Board Syllabus Second Year Model Question Papers for 2nd PUC Electronics Model Question Papers with Answers 2019-2020 Pdf. Students can also read 2nd PUC Electronics Question Bank with Answers hope will definitely help for your board exams.

Karnataka 2nd PUC Electronics Model Question Papers with Answers 2019-2020

• 2nd PUC Electronics Model Question Paper 1 with Answers
• 2nd PUC Electronics Model Question Paper 2 with Answers
• 2nd PUC Electronics Model Question Paper 3 with Answers
• 2nd PUC Electronics Previous Year Question Paper March 2019
• 2nd PUC Electronics Previous Year Question Paper March 2018
• 2nd PUC Electronics Previous Year Question Paper June 2018
• 2nd PUC Electronics Previous Year Question Paper March 2017
• 2nd PUC Electronics Previous Year Question Paper June 2017

Karnataka 2nd PUC Electronics Blue Print of Model Question Paper

We hope the given New Syllabus Karnataka 2nd PUC Class 12 Electronics Model Question Papers with Answers 2019-20 Pdf Free Download of 2nd PUC Electronics Previous Year Board Model Question Papers with Answers will help you. If you have any queries regarding Karnataka State Board Syllabus Second PUC Class 12 Model Question Papers for 2nd PUC Electronics Model Question Papers with Answers 2019-2020 Pdf, drop a comment below and we will get back to you at the earliest.

Students can Download Maths Chapter 13 Probability Ex 13.5 Questions and Answers, Notes Pdf, 2nd PUC Maths Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.

Karnataka 2nd PUC Maths Question Bank Chapter 13 Probability Ex 13.5

2nd PUC Maths Probability NCERT Text Book Questions and Answers Ex 13.5

Ex 13.5 Class 12 Maths Question 1.
A die is thrown 6 times. If ‘getting an odd number’ is a success, what is the probability of
(i) 5 successes?
(ii) at least 5 successes?
(iii) at most 5 successes?
Solution:
There are 3 odd numbers on a die
∴ Probability of getting an odd number on a die = \(\frac { 3 }{ 6 }\) = \(\frac { 1 }{ 2 }\)

Ex 13.5 Class 12 Maths Question 2.
There are 5% defective items in a large bulk of items. What is the probability that a sample of 10 items will include not more than one defective item ?
Solution:
Probability of getting one defective item = 5%
= \(\frac { 5 }{ 100 }\)
= \(\frac { 1 }{ 20 }\)
Probability of getting a good item = \(1-\frac { 1 }{ 20 }\) = \(\frac { 19 }{ 20 }\)
A sample of 10 item include not more than one defective item.
=> sample contains at most (me defective item Its probability = P (0) + P (1)

Ex 13.5 Class 12 Maths Question 3.
A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability, of two successes.
Solution:
n(S) = 36, A = {11,22,33,44,55,66}

Ex 13.5 Class 12 Maths Question 4.
Five cards are drawn successively with replacement from a well- shuffled deck of 52 cards. What is the probability that
(i) all the five cards are spades?
(ii) only 3 cards are spades?
(iii) none is spade?
Solution:
S = {52 cards}, n (S) = 52
Let A denotes the favourable events
A= {13 spade}, n(A)= 13

Ex 13.5 Class 12 Maths Question 5.
The probability that a bulb produced by a factory will fuse after 150 days of use is 0.05. Find the probability that out of 5 such bulbs.
(i) none
(ii) not more than one
(iii) more than one
(iv) at least one will fuse after 150 days of use
Solution:
Probability that a bulb gets fuse after 150 days of its use = 0.05
Probability that the bulb will not fuse after 150 days of its use = 1 – 0.05 = 0.95
(i) Probability that no bulb will fuse after 150

Ex 13.5 Class 12 Maths Question 6.
A bag consists of 10 balls each marked with one of the digits 0 to 9. If four bails are drawn successively with replacement from the bag, what is the probability that none is marked with the digit 0?
Solution:
S = {0,1,2,3,4,5,6,7,8,9},n(S) = 10
Let A represents that the ball is marked with the digit 0.
A = {0}, n(A) = 1

Ex 13.5 Class 12 Maths Question 7.
In an examination, 20 questions of true – false type are asked. Suppose a student tosses fair coin to determine his answer to each question. If the coin falls heads, he answers ‘true,’ if it falls tails, he answers “ false’. Find the probability that he answers at least 12 questions correctly.
Solution:
Probability that student answers a question true = \(\frac { 1 }{ 2 }\)
i.e., when a coin is thrown, probability that a head is obtained = \(\frac { 1 }{ 2 }\)
Probability that his answer is false = \(1-\frac { 1 }{ 2 }\) = \(\frac { 1 }{ 2 }\)
Probability that his answer at least 12 questions correctly = P (12) + P (13) + P (14) +…….. P (20)

Ex 13.5 Class 12 Maths Question 8
Suppose X has a binomial distribution \(B\left( 6,\frac { 1 }{ 2 } \right) \). Show that X = 3 is the most likely outcome.
(Hint: P (X = 3) is the maximum among all P (Xi), xi. = 0,1,2,3,4,5,6)
Solution:
\({ \left( \frac { 1 }{ 2 } +\frac { 1 }{ 2 } \right) }^{ 6 } \)

Ex 13.5 Class 12 Maths Question 9.
On a multiple choice examination with three possible answers for each of the five questions, what is the probability that a candidate would get four or more correct answers just by guessing?
Solution:
P = \(\frac { 1 }{ 3 }\). q = 1 – P = \(1-\frac { 1 }{ 3 }\) = \(\frac { 2 }{ 3 }\)

Ex 13.5 Class 12 Maths Question 10.
A person buys a lottery ticket in 50 lotteries, in each of which his chance of winning a prize is \(\frac { 1 }{ 100 }\) . What is the probability that he will win a prize?
(a) at least once,
(b) exactly once,
(c) at least twice?
Solution:
Probability that the person wins the prize = \(\frac { 1 }{ 100 }\)
Probability of losing = \(1-\frac { 1 }{ 100 }\) = \(\frac { 99 }{ 100 }\)
(a) Probability that he loses in all the loteries

Ex 13.5 Class 12 Maths Question 11.
Find the probability of getting 5 exactly twice in 7 throws of a die.
Solution:
S = {1,2,3,4,5,6},n(S) = 6
A = {5} => n(A) = 1

Ex 13.5 Class 12 Maths Question 12.
Find the probability of throwing at most 2 sixes in 6 throws of a single die.
Solution:
When a die is thrown,
Probabiltiy of getting a six = \(\frac { 1 }{ 6 }\)
Probabiltiy of not getting a six = \(1-\frac { 1 }{ 6 }\) = \(\frac { 5 }{ 6 }\)
Probabiltiy of getting at most 2 sixes in 6 throws of a single die = P (0) + P (1) + P (2)

Ex 13.5 Class 12 Maths Question 13.
It is known that 10% of certain articles manufactured are defective. What is the probability that in a random sample of 12 such articles 9 are defective?
Solution:
p = \(\frac { 1 }{ 100 }\) = \(\frac { 1 }{ 10 }\)
q = 1 – p = \(1-\frac { 1 }{ 10 }\) = \(\frac { 9 }{ 10 }\)

Ex 13.5 Class 12 Maths Question 14.
In a box containing 100 bulbs, 10 are defective. The probability that out of a sample of 5 bulbs, none is defective is
(a) \({ 10 }^{ -1 }\)
(b) \({ \left( \frac { 1 }{ 2 } \right) }^{ 5 }\)
(c) \({ \left( \frac { 9 }{ 10 } \right) }^{ 5 }\)
(d) \(\frac { 9 }{ 10 }\)
Solution:
p = \(\frac { 1 }{ 10 }\)
q = \(\frac { 9 }{ 10 }\) n = 5, r = 0, P(X=0) = \({ \left( \frac { 9 }{ 10 } \right) }^{ 5 }\)
Option (c) is correct

Ex 13.5 Class 12 Maths Question 15.
The probability that a student is not a swimmer is \(\frac { 1 }{ 5 }\). Then the probability that out of five students, four are swimmers is:

Solution:
p = \(\frac { 4 }{ 5 }\) , q = \(\frac { 1 }{ 5 }\) , n = 5,r = 4

Option (a) is true

Expert Teachers at KSEEBSolutions.com has created New Syllabus Karnataka 2nd PUC Basic Maths Model Question Papers with Answers 2019-20 Pdf Free Download of 2nd PUC Basic Maths Previous Year Board Model Question Papers with Answers are part of 2nd PUC Model Question Papers with Answers. Here We have given the Department of Pre University Education (PUE) Karnataka State Board Syllabus Second Year Model Question Papers for 2nd PUC Basic Maths Model Question Papers with Answers 2019-2020 Pdf. Students can also read 2nd PUC Basic Maths Question Bank with Answers hope will definitely help for your board exams.

Karnataka 2nd PUC Basic Maths Model Question Papers with Answers 2019-2020

• 2nd PUC Basic Maths Model Question Paper 1 with Answers
• 2nd PUC Basic Maths Model Question Paper 2 with Answers
• 2nd PUC Basic Maths Previous Year Question Paper March 2019
• 2nd PUC Basic Maths Previous Year Question Paper March 2018
• 2nd PUC Basic Maths Previous Year Question Paper June 2018
• 2nd PUC Basic Maths Previous Year Question Paper March 2017
• 2nd PUC Basic Maths Previous Year Question Paper June 2017
• 2nd PUC Basic Maths Previous Year Question Paper March 2016
• 2nd PUC Basic Maths Previous Year Question Paper June 2016

Karnataka 2nd PUC Maths Blue Print of Model Question Paper

We hope the given New Syllabus Karnataka 2nd PUC Class 12 Basic Maths Model Question Papers with Answers 2019-20 Pdf Free Download of 2nd PUC Basic Maths Previous Year Board Model Question Papers with Answers will help you. If you have any queries regarding Karnataka State Board Syllabus Second PUC Class 12 Model Question Papers for 2nd PUC Basic Maths Model Question Papers with Answers 2019-2020 Pdf, drop a comment below and we will get back to you at the earliest.

Expert Teachers at KSEEBSolutions.com has created New Syllabus Karnataka 2nd PUC Statistics Model Question Papers with Answers 2019-20 Pdf Free Download of 2nd PUC Statistics Previous Year Board Model Question Papers with Answers are part of 2nd PUC Model Question Papers with Answers. Here We have given the Department of Pre University Education (PUE) Karnataka State Board Syllabus Second Year Model Question Papers for 2nd PUC Statistics Model Question Papers with Answers 2019-2020 Pdf. Students can also read 2nd PUC Statistics Question Bank with Answers hope will definitely help for your board exams.

Karnataka 2nd PUC Statistics Model Question Papers with Answers 2019-2020

• 2nd PUC Statistics Model Question Paper 1 with Answers
• 2nd PUC Statistics Model Question Paper 2 with Answers
• 2nd PUC Statistics Model Question Paper 3 with Answers
• 2nd PUC Statistics Previous Year Question Paper March 2018
• 2nd PUC Statistics Previous Year Question Paper March 2017
• 2nd PUC Statistics Previous Year Question Paper June 2017
• 2nd PUC Statistics Previous Year Question Paper March 2016
• 2nd PUC Statistics Previous Year Question Paper June 2016
• 2nd PUC Statistics Previous Year Question Paper March 2015
• 2nd PUC Statistics Previous Year Question Paper June 2015

2nd PUC Statistics Blue Print of Model Question Paper

Note:-
* Sec-D: Four 10 Marks question are set as, one each from Units I to III and one from Unit V and VII
* Sec-E: Four 5 marks questions are set as, one question selected either from Unit V, two questions from Unit VI and one question from Unit VII.

We hope the given New Syllabus Karnataka 2nd PUC Class 12 Statistics Model Question Papers with Answers 2019-20 Pdf Free Download of 2nd PUC Statistics Previous Year Board Model Question Papers with Answers will help you. If you have any queries regarding Karnataka State Board Syllabus Second PUC Class 12 Model Question Papers for 2nd PUC Statistics Model Question Papers with Answers 2019-2020 Pdf, drop a comment below and we will get back to you at the earliest.