Probability
Telangana Board · Class 10 · Mathematics
Summary of Probability for Telangana Board Class 10 Mathematics. Key concepts, important points, and chapter overview.
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Overview
Probability measures the chance of an event. Experimental probability comes from repeated trials, while theoretical probability is found by counting favourable outcomes and total possible outcomes when outcomes are equally likely. The chapter builds from simple experiments like tossing a coin and th
Key Concepts
Experimental probability is calculated from actual
Experimental probability is calculated from actual trials using P(E) = Number of trials in which the event happened / Total number of trials. A coin t
Theoretical probability is calculated as P(T)
Theoretical probability is calculated as P(T) = Number of outcomes favourable to T / Number of all possible outcomes of the experiment, when outcomes
Outcomes are equally likely when chances
Outcomes are equally likely when chances of getting them are equal. A fair coin and a fair dice are standard examples.
The sample space is the set
The sample space is the set of all possible outcomes of an experiment. For one coin toss, it is {H, T}. For two different coins tossed simultaneously,
An event having only one outcome
An event having only one outcome in an experiment is called an elementary event. Getting a head in one coin toss is an elementary event; getting a num
Learning Objectives
- Understand experimental and theoretical probability
- Identify equally likely, elementary, mutually exclusive, complementary, impossible, sure, and exhaustive events
- Find probability using favourable outcomes and total outcomes
- Use complementary probability to solve problems quickly
- Apply probability to coins, dice, cards, birthdays, marbles, shirts, and region-based situations
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