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AP Board Class 10 Maths Chapter 13 Probability Ex 13.1 Textbook Solutions PDF: Download Andhra Pradesh Board STD 10th Maths Chapter 13 Probability Ex 13.1 Book Answers |
Andhra Pradesh Board Class 10th Maths Chapter 13 Probability Ex 13.1 Textbooks Solutions PDF
Andhra Pradesh State Board STD 10th Maths Chapter 13 Probability Ex 13.1 Books Solutions with Answers are prepared and published by the Andhra Pradesh Board Publishers. It is an autonomous organization to advise and assist qualitative improvements in school education. If you are in search of AP Board Class 10th Maths Chapter 13 Probability Ex 13.1 Books Answers Solutions, then you are in the right place. Here is a complete hub of Andhra Pradesh State Board Class 10th Maths Chapter 13 Probability Ex 13.1 solutions that are available here for free PDF downloads to help students for their adequate preparation. You can find all the subjects of Andhra Pradesh Board STD 10th Maths Chapter 13 Probability Ex 13.1 Textbooks. These Andhra Pradesh State Board Class 10th Maths Chapter 13 Probability Ex 13.1 Textbooks Solutions English PDF will be helpful for effective education, and a maximum number of questions in exams are chosen from Andhra Pradesh Board.Andhra Pradesh State Board Class 10th Maths Chapter 13 Probability Ex 13.1 Books Solutions
Board | AP Board |
Materials | Textbook Solutions/Guide |
Format | DOC/PDF |
Class | 10th |
Subject | Maths |
Chapters | Maths Chapter 13 Probability Ex 13.1 |
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AP Board Class 10th Maths Chapter 13 Probability Ex 13.1 Textbooks Solutions with Answer PDF Download
Find below the list of all AP Board Class 10th Maths Chapter 13 Probability Ex 13.1 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:10th Class Maths 13th Lesson Probability Ex 13.1 Textbook Questions and Answers
Question 1.
Complete the following statements:
i) Probability of an event E + Probability of the event ‘not E’ = 1 .
ii) The probability of an event that cannot happen is zero.
Such an event is called an impossible event.
iii) The probability of an event that is certain to happen is 1 such an event is called sure or certain event.
iv) The sum of the probabilities of all the elementary events of an experiment is 1 .
v) The probability of an event is greater than or equal to zero and less than or equal to 1 .
Question 2.
Which of the following experiments have equally likely outcomes? Explain.
i) A driver attempts to start a car. The car starts or does not start.
Answer:
Equally likely. Since both have the same probability 12.
ii) A player attempts to shoot a basket-ball. She/he shoots or misses the shot.
Answer:
Equally likely. Since both have the same probability 12.
iii) A trial is made to answer a true-false question. The answer is right or wrong.
Equally likely. Since both have the same probability 12.
iv) A baby is born. It is a boy or a girl.
Equally likely. Since both the events have the same probability 12.
Question 3.
If P(E) = 0.05, what is the probability of not E?
Answer:
Given: P(E) = 0.05
Hence, P(E) + P(E⎯⎯⎯⎯) = 1, where P(E⎯⎯⎯⎯) is the probability of ‘not E’
0.05 + P(E⎯⎯⎯⎯) = 1
∴ P(E⎯⎯⎯⎯) = 1 -0.05 = 0.95.
Question 4.
A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out
i) an orange flavoured candy?
ii) a lemon flavoured candy?
Answer:
Bag contains only lemon flavoured candies.
i) Taking an orange flavoured candy is an impossible event and hence the probability is zero.
ii) Also taking a lemon flavoured candy is a sure event and hence its probability is 1.
Question 5.
Rahim removes all the hearts from the cards. What is the probability of
i. Picking out an ace from the remaining pack.
ii. Picking out a diamond.
iii. Picking out a card that is not a heart.
iv. Picking out the Ace of hearts.
Answer:
Total number of cards in the deck = 52.
Total number of hearts in the deck of cards =13.
When Hearts are removed, remaining cards = 52 – 13 = 39.
i)Picking out an Ace:
Number of outcomes favourable to Ace = 3 [∵ ♦ A, ♥ A, ♠ A, ♣ A]
Total number of possible outcomes from the remaining cards = 39
– after removing Hearts.
Probability = P(A)
= No. of favourable outcomes Total no. of outcomes
= 339 = 113
ii) Picking out a diamond:
Number of favourable outcomes to diamonds (♦) = 13
Total number of possible outcomes = 39
∴ p(♦) = 1339 = 13
iii) Picking out a card that is ‘not a heart’:
As all hearts are removed, the remain-ing cards are all non-heart cards. So the picked card will be definitely a non-heart card. So this is a sure event.
Hence its probability is one
P(E) = 3939 = 1
iv) Picking out the Ace of Hearts:
a) As all the heart cards are removed the left over cards will have three suits (i) spades, (ii), clubs, (iii) dia¬monds of each 13.
Hence total outcomes = 3 × 13 = 39 But among them there is no Ace of heart. So number of favourable outcomes for picking Ace of heart = zero.
∴ Probability P(E) = 039 = 0
So it is an impossible event.
b) If picking from the rest of the cards, it is an impossible event and hence probability is zero.
It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992.
Question 6.
What is the probability that the 2 students have the same birthday?
Answer:
Let P(E) = The probability that two students not having the same birthday = 0.992
Then P(E⎯⎯⎯⎯) = The complementary event of E, i.e., two students having the same birthday Also, P(E) + p(E⎯⎯⎯⎯) = 1
∴ The probability that two students have the same birthday P(E⎯⎯⎯⎯) = 1 – P(E)
= 1 – 0.992 = 0.008
Question 7.
A die is thrown once. Find the probability of getting
(i) a prime number;
(ii) a number lying between 2 and 6;
(iii) an odd number.
Answer:
i) When a die is thrown for one time, total number of outcomes = 6
No. of outcomes favourable to a prime number (2, 3, 5) = 3
∴ Probability of getting a prime = No. of favourable outcomes Total no. of outcomes
= 36 = 12
ii) No. of outcomes favourable to a number lying between 2 and 6 (3, 4, 5) = 3
∴ Probability of getting a number between 2 and 6
= No. of favourable outcomes Total no. of outcomes
= 36 = 12
iii) Number of outcomes favourable to an odd number (1, 3, 5) = 3
∴ Probability of getting an odd number P(odd)
= No. of favourable outcomes Total no. of outcomes
= 36 = 12
Question 8.
What is the probability of drawing out a red king from a deck of cards?
Answer: Number of favourable outcomes to red king (♥ K, ♦ K) = 2.
Number of total outcomes = 52
(∵ Number of cards in a deck of cards = 52)
∴ Probability of getting a red king P (Red king)
= No. of favourable outcomes Total no. of outcomes
= 252 = 126
Question 9.
Make 5 more problems getting probability using dice, cards or birthdays and discuss with friends and teacher about their solutions.
Answer:
Class-room activity.
AP Board Textbook Solutions PDF for Class 10th Maths
- AP Board Class 10 Maths Chapter 1 Real Numbers Ex 1.1 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 1 Real Numbers Ex 1.2 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 1 Real Numbers Ex 1.3 Textbook Solutions PDF
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- AP Board Class 10 Maths Chapter 1 Real Numbers Optional Exercise Textbook Solutions PDF
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- AP Board Class 10 Maths Chapter 2 Sets Ex 2.1 Textbook Solutions PDF
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- AP Board Class 10 Maths Chapter 2 Sets InText Questions Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 3 Polynomials Ex 3.1 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 3 Polynomials Ex 3.2 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 3 Polynomials Ex 3.3 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 3 Polynomials Ex 3.4 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 3 Polynomials Optional Exercise Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 3 Polynomials InText Questions Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 4 Pair of Linear Equations in Two Variables Ex 4.1 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 4 Pair of Linear Equations in Two Variables Ex 4.2 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 4 Pair of Linear Equations in Two Variables Ex 4.3 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 4 Pair of Linear Equations in Two Variables Optional Exercise Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 4 Pair of Linear Equations in Two Variables InText Questions Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 5 Quadratic Equations Ex 5.1 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 5 Quadratic Equations Ex 5.2 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 5 Quadratic Equations Ex 5.3 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 5 Quadratic Equations Ex 5.4 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 5 Quadratic Equations Optional Exercise Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 5 Quadratic Equations InText Questions Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 6 Progressions Ex 6.1 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 6 Progressions Ex 6.2 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 6 Progressions Ex 6.3 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 6 Progressions Ex 6.4 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 6 Progressions Ex 6.5 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 6 Progressions Optional Exercise Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 6 Progressions InText Questions Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.1 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.2 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.3 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.4 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 7 Coordinate Geometry Optional Exercise Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 7 Coordinate Geometry InText Questions Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 8 Similar Triangles Ex 8.1 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 8 Similar Triangles Ex 8.2 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 8 Similar Triangles Ex 8.3 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 8 Similar Triangles Ex 8.4 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 8 Similar Triangles Optional Exercise Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 8 Similar Triangles InText Questions Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 9 Tangents and Secants to a Circle Ex 9.2 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 9 Tangents and Secants to a Circle Ex 9.3 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 9 Tangents and Secants to a Circle Optional Exercise Textbook Solutions PDF
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- AP Board Class 10 Maths Chapter 10 Mensuration Ex 10.1 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 10 Mensuration Ex 10.2 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 10 Mensuration Ex 10.3 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 10 Mensuration Ex 10.4 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 10 Mensuration Optional Exercise Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 10 Mensuration InText Questions Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 11 Trigonometry Ex 11.1 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 11 Trigonometry Ex 11.2 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 11 Trigonometry Ex 11.3 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 11 Trigonometry Ex 11.4 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 11 Trigonometry Optional Exercise Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 11 Trigonometry InText Questions Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 12 Applications of Trigonometry Ex 12.1 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 12 Applications of Trigonometry Ex 12.2 Textbook Solutions PDF
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- AP Board Class 10 Maths Chapter 13 Probability Ex 13.2 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 13 Probability Optional Exercise Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 13 Probability InText Questions Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 14 Statistics Ex 14.1 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 14 Statistics Ex 14.2 Textbook Solutions PDF
- AP Board Class 10 Maths Chapter 14 Statistics Ex 14.3 Textbook Solutions PDF
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- AP Board Class 10 Maths Chapter 14 Statistics InText Questions Textbook Solutions PDF
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