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← Class 10 Mathematics

Class 10 · English Version · Mathematics

Data, probability and written reasoning

Read probability trees and assess data comparisons.

About this lesson and its coverage

Original Kidemy Class 10 progression. This level has its own text, examples and questions. Curriculum versions share the progression; complete board-specific coverage still needs specification matching and additional material.

Learn the idea

Without replacement, later branch probabilities depend on earlier draws. Multiply probabilities along a path and add disjoint paths. A data comparison needs consistent definitions and sampling, not only a large number of observations.

Worked example

From3 red and 2 blue balls, P(two red without replacement)=3/5×2/4=3/10.

  1. Identify the quantities and restrictions.
  2. Show a method with units or symbols.
  3. Check and explain the result.

Your written practice

Show your working on paper. Check your answer, then choose Next.

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1/15

2/6×1/5=1/15.

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2/5

4/6×3/5=2/5.

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7

84/12.

Write in your own words. A guardian or teacher should review this response.

Show model answer and explanation

They are mutually exclusive orders covering that event.

Use disjoint paths, not overlapping events.

Write in your own words. A guardian or teacher should review this response.

Show model answer and explanation

Those who choose to respond may differ systematically from those who do not.

Explain the selection process.

Progress and browser storage

Notebook challenge, sources and further study

Apply the idea

Draw a two-step tree and explain the result in words, including its assumptions.

Review with a guardian or teacher

  • Use the stated evidence or givens.
  • Show reasoning rather than only a result.
  • Review and explain one correction.

Keep your work on paper or in a local file. This page does not upload it or automatically grade the project.

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