Q1
Probability of an event is calculated as:
Afavourable outcomes ÷ total outcomes
Btotal outcomes ÷ favourable outcomes
Cfavourable outcomes x total outcomes
Dfavourable outcomes - total outcomes
CBSEClass 10 (CBSE)MathematicsCh 14 · Topic 1
Theoretical Probability
Learning to calculate the probability of an event using the classical definition.
Core concept
For example, the probability of rolling a 4 on a fair six-sided die is 1/6, since there is exactly 1 favourable outcome (rolling a 4) out of 6 equally likely total outcomes (1 through 6). Probability values always range between 0 (impossible event, will never happen) and 1 (certain event, will definitely happen), with values in between representing varying degrees of likelihood — this framework is fundamental to statistics, risk assessment, and decision-making in real-world uncertain situations.
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• Theoretical probability P(E) = favourable outcomes ÷ total equally likely outcomes.
• Example: probability of rolling a 4 on a fair die = 1/6.
• Probability values range from 0 (impossible) to 1 (certain).
• This framework underlies statistics, risk assessment, and real-world decision-making.