Last updated at Feb. 25, 2017 by Teachoo

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Ex 15.1, 25 Which of the following arguments are correct and which are not correct? Give reasons for your answer.(i) If two coins are tossed simultaneously, there are three possible outcomes, two heads, two tails or one of each. For each of these outcomes, the probability is 1/3 Total possible outcomes = (H, H) , (H, T), (T, H), (T, T) Number of possible outcomes = 4 Probability of getting two heads = (๐๐ข๐๐๐๐ ๐๐ ๐ก๐๐๐๐ ๐ก๐ค๐ โ๐๐๐๐ ๐๐๐๐ข๐๐ )/(๐๐๐ก๐๐ ๐๐ข๐๐๐๐ ๐๐ ๐๐ข๐ก๐๐๐๐๐ ) Probability of getting two tails = (๐๐ข๐๐๐๐ ๐๐ ๐ก๐๐๐๐ ๐ก๐ค๐ ๐ก๐๐๐๐ ๐๐๐๐ข๐๐ )/(๐๐๐ก๐๐ ๐๐ข๐๐๐๐ ๐๐ ๐๐ข๐ก๐๐๐๐๐ ) Probability of getting one head & one tails = (๐๐ข๐๐๐๐ ๐๐ ๐ก๐๐๐๐ ๐๐๐ โ๐๐๐ ๐๐๐ ๐๐๐ ๐ก๐๐๐ ๐๐๐๐ข๐๐ )/(๐๐๐ก๐๐ ๐๐ข๐๐๐๐ ๐๐ ๐๐ข๐ก๐๐๐๐๐ ) = 2/4 = 1/2 Therefore the given statement is incorrect. The probabilities of these outcomes is not 1/3 Ex 15.1, 25 Which of the following arguments are correct and which are not correct? Give reasons for your answer.(ii) If a die is thrown, there are two possible outcomes- an odd number or an even number .Therefore the probability of getting an odd number is 1/2 Total outcomes that can occur are 1, 2, 3, 4, 5, 6 Number of possible outcomes of a dice = 6 Numbers which are odd = 1, 3, 5 Total numbers which are odd = 3 Numbers which are even = 2, 4, 6 Total numbers which are even = 3 Probability of getting an odd number = (๐๐ข๐๐๐๐ ๐๐ ๐๐ข๐ก๐๐๐๐๐ ๐คโ๐๐๐ ๐กโ๐๐๐ ๐๐ ๐๐ ๐๐๐ ๐๐ข๐๐๐๐)/(๐๐๐ก๐๐ ๐๐ข๐๐๐๐ ๐๐ ๐๐ข๐ก๐๐๐๐๐ ) = 3/6 = 1/2 Hence, the given statement is correct

Important Questions for Exam - Class 10

- Chapter 1 Class 10 Real Numbers
- Chapter 2 Class 10 Polynomials
- Chapter 3 Class 10 Pair of Linear Equations in Two Variables
- Chapter 4 Class 10 Quadratic Equations
- Chapter 5 Class 10 Arithmetic Progressions
- Chapter 6 Class 10 Triangles
- Chapter 7 Class 10 Coordinate Geometry
- Chapter 8 Class 10 Introduction to Trignometry
- Chapter 9 Class 10 Some Applications of Trignometry
- Chapter 10 Class 10 Circles
- Chapter 11 Class 10 Constructions
- Chapter 12 Class 10 Areas related to Circles
- Chapter 13 Class 10 Surface Areas and Volumes
- Chapter 14 Class 10 Statistics
- Chapter 15 Class 10 Probability

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.