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Ans.(c) \dfrac{12}{13}
Explanation:
Total number of possible outcomes = 52
Number of aces in the pack = 4
Thus, the probability of not drawing an ace
\therefore P(E) = \dfrac{52-4}{52} = \dfrac{48}{52} = \dfrac{12}{13}
Ans. (b) \dfrac{3}{5}
Explanation:
Total number of possible outcomes = 10
The total number of favourable outcomes = 6
\therefore P(E) = \dfrac{6}{10} = \dfrac{3}{5}
Explanation:
The number of cards =52
Number of kings and queens=4+4=8
Thus, number of favourable outcomes
= 52−8 = 44
\therefore P(E) = \dfrac{44}{52} = \dfrac{11}{13}
Explanation:
Total numbers of cards = 52
(i) The number of favourable outcomes of drawing a face card = 12
\\ \therefore P(E) = \dfrac{12}{52} = \dfrac{3}{13}\\
(ii) The number of favourable outcomes of drawing neither a king nor a red card
= 52 – (2 + 26)
= 24
\therefore P(E) = \dfrac{24}{52} = \dfrac{6}{13}\\
Explanation:
Let the number of white balls be x.
Thus, the total number of the possible outcomes
= 6 + x
Now, the favourable outcomes if the black ball is drawn = 6
\therefore P(B) = \dfrac{6}{6+x}\\
Again, the favourable outcomes if the white ball is drawn = x
\therefore P(W) = \dfrac{6}{6+x}\\
According to the question,
\dfrac{6}{6+x} = 2\left(\dfrac{6}{6+x}\right)\\
⇒ x = 12
Hence, the number of white balls = 12.
| Chapter No. | Chapter Name |
|---|---|
| Chapter 1 | Real Numbers |
| Chapter 2 | Polynomials |
| Chapter 3 | Pair of Linear Equations in Two Variable |
| Chapter 4 | Quadratic Equations |
| Chapter 5 | Arithmetic Progressions |
| Chapter 6 | Triangles |
| Chapter 7 | Coordinate Geometry |
| Chapter 8 | Introduction to Trigonometry |
| Chapter 9 | Some Applications of Trigonometry |
| Chapter 10 | Circles |
| Chapter 11 | Areas Related to Circle |
| Chapter 12 | Surface Areas and Volumes |
| Chapter 13 | Statistics |
| Chapter 14 | Probability |
| Chapter Wise Important Questions for CBSE Board Class 10 Maths |
|---|
| Real Numbers |
| Polynomials |
| Pair of Linear Equations in Two Variables |
| Quadratic Equations |
| Arithmetic Progressions |
| Triangles |
| Coordinate Geometry |
| Introduction to Trigonometry |
| Some Applications of Trigonometry |
| Circles |
| Areas Related to Circles |
| Surface Areas and Volumes |
| Statistics |
| Probability |
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