- Rational Numbers
- Powers
- Squares and Square Roots
- Cube and Cube Roots
- Playing with Numbers
- Algebraic Expressions and Identities
- Factorization
- Division of Algebraic Expressions
- Linear Equation in One Variable
- Direct and Inverse Variations
- Time and Work
- Percentage
- Profit Loss Discount and Value Added Tax
- Compound Interest
- Understanding Shapes Polygons
- Understanding Shapes Quadrilaterals
- Understanding Shapes Special Types Quadrilaterals
- Practical Goemetry
- Visualising Shapes
- Area of Trapezium and Polygon
- Volume Surface Area Cuboid Cube
- Surface Area and Volume of Right Circular Cylinder
- Classification And Tabulation Of Data
- Classification And Tabulation Of Data Graphical Representation Of Data As Histograms
- Pictorial Representation Of Data As Pie Charts Or Circle Graphs
- Data Handling Probability
- Introduction To Graphs
RD Sharma Solutions Class 8 Mathematics Solutions for Data Handling Probability Exercise 26.1 in Chapter 26 - Data Handling Probability
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Three coins are tossed together. Find the probability of getting:
(i) exactly two heads
(ii) at least two heads
(iii) at least one head and one tail
(iv)no tails
(i) Exactly two heads
Possible outcome of tossing three coins are: HTT, HHT, HHH, HTH, TTT, TTH, THT, THH
Number of outcomes of exactly two heads are: 3
Probability of getting exactly two heads is = Total numbers/Total number of outcomes
= 3/8
∴ Probability of getting exactly two heads is 3/8
(ii) At least two heads
Possible outcome of tossing three coins are: HTT, HHT, HHH, HTH, TTT, TTH, THT, THH
Number of outcomes of at least two heads are: 4
Probability of getting at least two heads is = Total numbers/Total number of outcomes
= 4/8
= 1/2
∴ Probability of getting at least two heads is 1/2
(iii) At least one head and one tail
Possible outcome of tossing three coins are: HTT, HHT, HHH, HTH, TTT, TTH, THT, THH
Number of outcomes of at least one head and one tail are: 6
Probability of getting at least one head and one tail is = Total numbers/Total number of outcomes
= 6/8
= 3/4
∴ Probability of getting at least one head and one tail is 3/4
(iv) No tails
Possible outcome of tossing three coins are: HTT, HHT, HHH, HTH, TTT, TTH, THT, THH
Number of outcomes of no tails are: 1
Probability of getting no tails is = Total numbers/Total number of outcomes
= 1/8
∴ Probability of getting no tails is 1/8
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