Chapter 14 · Question 1

Define theoretical probability of an event.

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Q1

Define theoretical probability of an event.

Answer Revealed
Direct Answer:
If all outcomes are equally likely, P(E)=number of outcomes favourable to Enumber of all possible outcomesP(E)=\frac{\text{number of outcomes favourable to }E}{\text{number of all possible outcomes}}.

Simple Explanation

Probability is favourable outcomes divided by total equally likely outcomes.

Exam-Ready Structure

Theoretical probability is based on reasoning, not repeated experiments. For an event EE, when outcomes are equally likely, P(E)=n(E)n(S)P(E)=\frac{n(E)}{n(S)}, where SS is the sample space and n(E)n(E) is the number of favourable outcomes.

Key Points

  • If all outcomes are equally likely, P(E)=number of outcomes favourable to Enumber of all possible outcomesP(E)=\frac{\text{number of outcomes favourable to }E}{\text{number of all possible outcomes}}.
  • Use the NCERT formula or theorem carefully.
  • Write units and final conclusion where applicable.