Introduction To Probability
NIOS · Class 10 · Maths
Complete topic list for Introduction To Probability in NIOS Class 10 Maths. Key concepts, sub-topics, and what to focus on for board exams.
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Random Experiments and Outcomes
- A random experiment has multiple possible outcomes and the result cannot be predicted beforehand
- Examples include tossing a coin (H, T), throwing a die (1,2,3,4,5,6), drawing cards from a deck
- Each repetition of the experiment may yield different outcomes
Events and Probability Definition
- An event is one or more outcomes of a random experiment
- Elementary events have only one outcome
- Probability measures the likelihood of an event occurring
Properties of Probability
- Probability values always lie between 0 and 1 (inclusive)
- Impossible events have probability 0
- Certain/sure events have probability 1
Solved Problems and Applications
- Coin problems: Sample space = {H, T}, P(H) = P(T) = 1/2
- Die problems: Sample space = {1,2,3,4,5,6}, each outcome has probability 1/6
- Card problems: 52 cards total, 26 red, 26 black, 12 face cards
Key Concepts
Central concept: Probability is a mathematical tool to measure uncertainty and predict the likelihood of events in random experiments
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