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Probability as favourable over total outcomes

For equally likely outcomes, probability of an event equals favourable outcomes divided by total outcomes.

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Main explanation

Teacher explanation

This is the working rule used in most Class 10 questions. The event may be getting an even number, a red ball, a heart card, or any other result we want. The key is to count only the outcomes that satisfy the event and divide by the full sample space.

Example

If a die is thrown, the probability of getting an even number is 3/6 = 1/2.

Simple analogy

Event count over total count.

Common confusion

Students sometimes count favourable outcomes correctly but forget to count the full sample space.

Exam tip

Write the event first, then count only matching outcomes before dividing by the total.

Answer writing and exam use

1-mark use

Write the exact meaning of probability as favourable over total outcomes in one clean line.

2-mark use

Define probability as favourable over total outcomes and add one example or condition.

3-mark use

Explain probability as favourable over total outcomes, show the method or example, and mention the common mistake.

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