Probability
Madhya Pradesh Board · Class 10 · Mathematics
Summary of Probability for Madhya Pradesh Board Class 10 Mathematics. Key concepts, important points, and chapter overview.
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Probability studies how likely an event is to happen. A fair coin has two equally likely outcomes, head and tail. A fair die has six equally likely outcomes, 1 to 6. The chapter begins with these equal-likelihood situations, then moves to the classical definition of probability given by Laplace. It
Key Concepts
Outcomes are equally likely when each
Outcomes are equally likely when each outcome has the same chance of occurring. A fair coin has head and tail as equally likely outcomes. A fair die h
Empirical probability is based on trials
Empirical probability is based on trials and is found by dividing the number of times an event happens by the total number of trials. It depends on re
Theoretical probability is the ratio
Theoretical probability is the ratio of favourable outcomes to all possible outcomes, provided all outcomes are equally likely. Laplace gave this defi
An event having only one outcome
An event having only one outcome is called an elementary event. Examples include getting a head on one coin toss or drawing a yellow ball from a set o
The complement of an event E
The complement of an event E is the event not E, written as E bar. The rule is P of not E equals 1 minus P of E.
Learning Objectives
- Understand the meaning of probability as a measure of chance
- Identify equally likely, impossible, sure, and elementary events
- Use the classical probability formula for finite outcomes
- Use the complementary event rule to find probabilities quickly
- Solve probability problems involving coins, dice, cards, balls, birthdays, and simple real-life situations
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