Probability
ICSE · Class 11 · Mathematics
Summary of Probability for ICSE Class 11 Mathematics. Key concepts, important points, and chapter overview.
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Probability measures chance in a numerical form. A random experiment has more than one possible outcome and its result cannot be predicted in advance. The set of all possible outcomes is the sample space, and any subset of the sample space is an event. Probability is first built from equally likely
Key Concepts
An experiment is an operation
An experiment is an operation that produces well-defined outcomes. A random experiment has more than one possible outcome, and the outcome cannot be p
The sample space is the set
The sample space is the set of all possible outcomes of a random experiment and is denoted by S. For a die throw, S = {1,2,3,4,5,6}. For two coin toss
An event is any subset
An event is any subset of the sample space. If S has n elements, then the number of events is 2^n. Events may be simple, compound, sure or impossible.
A sure event is the whole
A sure event is the whole sample space. An impossible event is the empty set. An elementary event has exactly one outcome. A compound event has more t
Two outcomes are equally likely if
Two outcomes are equally likely if one cannot be expected to occur in preference to the other. This idea is used in classical probability.
Learning Objectives
- Identify experiments, random experiments, sample spaces and events
- Classify events as sure, impossible, elementary, compound, complementary, mutually exclusive and exhaustive
- Apply the classical approach to probability for equally likely outcomes
- Understand the axiomatic approach and its basic rules
- Use complement, union and intersection to find probabilities of related events
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