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Worked Example

Applied word problem 8

For Class 12 Mathematics, explain or solve a random variables and binomial distribution question from the chapter "Probability". Focus on applied word problem and show the working clearly.

Step-by-step solution path

  1. Read the topic idea: Random Variables and Binomial Distribution.
  2. Recall the core explanation from the chapter: Conditional probability, multiplication theorem, Bayes' theorem, random variables, binomial distribution.
  3. Use the related formula "Total Probability" as the main tool while solving.
  4. Write the reasoning in simple school-level language before the final answer.
Final learning answer
This example is centred on Random Variables and Binomial Distribution. A strong solution should identify the correct data, apply Total Probability, and explain each transition instead of jumping directly to the answer.

Related formula

Total Probability
P(B) = Σᵢ P(B|Aᵢ)×P(Aᵢ)
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