Skip to main content

ICSE Solutions for Class 10 Mathematics – Probability

ICSE Solutions for Class 10 Mathematics – Probability

ICSE Solutions for Class 10 Mathematics – Probability


Formulae

1. If all the outcomes of an experiment are equally likely and E is an event, then probability of event E, written by P (E), is given by
  
2. 0 ≤ P (E) ≤ 1
3. P (not E) = 1 – P (E)
4. P (E) = 1 – P (not E)
5. P (E) + P (not E) = 1
6. The sum of the probabilities of all the elementary events of an experiment = 1
7. The probability of a sure event = 1
8. The probability of an impossible event = 0.

Concept Based Questions

Question 1. An unbiased dice is thrown. What is the probability of getting a number other than 4.
  
Question 2. Two dice are thrown simulata- neously. Find the probability of getting six as the product.
  
Question 3. If the probability of winning a 5 game is 5/11. What is the probability of losing?
  
Question 4. Find the probability of getting a tail in a throw of a coin.
  
Question 5. In a cricket match a batsman hits a boundary 6 times out of 30 balls he play’s. Find the probability that he did not hit the boundary?
  
Question 6. It is known that a bax of 600 electric bulbs contain 12 defective bulbs. One bulb is taken out at random from this box. What is the probability that it is a non-defective bulb?
  
Question 7. 1000 tickets of a lottery were sold and there are 5 prizes on these tickets. If Namita has purchased one lottery ticket, what is the probability of winning a prize?
  
Question 8. A coin is tossed 100 times with the following frequencies:
Head = 55, Tail = 45
find the probability for each event (i) head (ii) tail.
  
Question 9. Namita tossed a coin once. What is the probability of getting (i) Head (ii) tail?
  
Question 10. Two coins are tossed once. Find the probability of getting.
  
Question 11. A die has 6 faces marked by the given numbers as shown below:
The die is thrown once. What is the probability of getting
(i) a positive integer.
(ii) an integer greater than – 3.
(iii) the smallest integer.
  
  
Question 12. 1800 families with 2 children were selected randomly and the following data were recorded:
  
Question 13. A card is drawn at random from a well shuffled pack of 52 cards. Find the probability that at the card drawn is neither a red card nor a qeen.
  
Question 14. A dice is thrown once. What is the probability that the
(i) number is even
(ii) number is greater than 2?
  
Question 15. A box contains some black balls and 30 white balls. If the probability of drawing a black ball is two-fifths of a white ball, find the number of black balls in the box.
  
Question 16. From a pack of 52 playing cards all cards whose numbers are multiples, of 3 are removed. A card is now drawn at random.
What is the probability that the card drawn is:
(i) a face card (King, Jack or Queen)
(ii) an even numbered red card?
  
Question 17. One card is randomly drawn from a pack of 52 cards. Find the probability that:
(i) the drawn card is red.
(ii) the drawn card is an ace.
(iii) the drawn card is red and a king.
(iv) the drawn card is red or king.
  
  
Question 18. One card is drawn from a pack of 52 cards, each of the 52 cards being equall likely to be drawn. Find the probability that the card drawn is (i) An ace, (ii) red, (iii) either red or king, (iv) red and a king, (v) a face card, (vi) a red face card, (vii) ‘2’ of spade, (viii) ’10’ of a blacksuit.
  
  
  
Question 19. Two dice are thrown simulta-neously. Find the probability of getting:
(i) an even number as the stun, (ii) the sum as a prime number, (iii) a total of at least 10, (iv) a doublet of even number, (v) a multiple of 3 as the sum.
  
  
Question 20. Find the probability that leap year selected at random, will contain 53 Sundays.
  


Comments

Post a Comment

Popular posts from this blog

ICSE Solutions for Class 9 Geography – Natural Regions of the World

ICSE Solutions for Class 9 Geography – Natural Regions of the World ICSE Solutions for Class 9 Geography – Natural Regions of the World Exercises I. Short Answer Questions. Question 1. Define the term ‘natural region’. Answer: A natural region refers to a part of Earth’s surface having a particular uniformity in physical and climatic elements. Question 2. Name any four natural regions of the world. Answer: Equatorial Region, Tropical Grasslands (Savanah), Tropical Monsoon type and Tropical Deserts. Question 3. Briefly state the importance of climate. Answer: Climate imparts an important effect on human life, as the life style, occupations, trade facilities all are deeply related to the climatic behaviour of a particular natural region. Climate has a remarkable impact on human efficiency too. Question 4. State the location of the Equatorial Region. Answer: It is found in Amazon basic, Congo basin and Indonesia etc. Question 5. What is the latitudinal extent of the Monsoon climate? Answe...
Post a Comment
Read more

Selina Concise Physics Class 10 ICSE Solutions Chapter 12 - Radioactivity

Selina Concise Physics Class 10 ICSE Solutions Radioactivity Selina ICSE Solutions for Class 10 Physics Chapter 12 Radioactivity Exercise 12(A) Solution 1. Three constituent of an atom are: Electrons: mass is 9.1 x 10-31 kg, charge is -1.6 x 10-19C Neutron: mass is 1.6749 x 10-27 kg, charge is zero. Protons: mass is 1.6726 x 10-27 kg, charge is +1.6 x 10-19 C Solution 2 . Atomic number – the number of protons in the nucleus is called atomic number. Mass number – the total number of nucleons in the nucleus is called mass number. Solution 3. The nucleus at the centre of atom, whose size is of the order of 10-15 m to 10-14 m. The size of a nucleus is 10-5 to 10-4 times the size of an atom. It consists of protons and neutrons. If Z is the atomic number and A is the mass number of an atom, then the atom contains Z number of electrons; Z number of protons and A – Z number of neutrons. The atom is specified by the symbol ZXA where X is the chemical symbol for the element. Solution 4....
Post a Comment
Read more

Selina Concise Physics Class 10 ICSE Solutions Chapter 4 - Refraction of Light at Plane Surfaces

Selina Concise Physics Class 10 ICSE Solutions Refraction of Light at Plane Surfaces Selina ICSE Solutions for Class 10 Physics Chapter 4 Refraction of Light at Plane Surfaces Exercise 4(A) Solution 1. The change in the direction of the path of light, when it passes from one transparent medium to another transparent medium, is called refraction of light . Solution 2.    Solution 3. The ray of light which is incident normally on a plane glass slab passes undeviated. That is such a ray suffers no bending at the surface because here the angle of incidence is 0°. Thus if angle of incidence ∠i = 0°, then the angle of refraction ∠r = 0°. And the angle of deviation of the ray will also be 0°. Solution 5. The refraction of light (or change in the direction of path of light in other medium) occurs because light travels with different speeds in different media. When a ray of light passes from one medium to another, its direction (except for ∠i = 0°) changes because of change in its spe...
Post a Comment
Read more