Mathematics · Interactive learning companion

Candy Probability

Find probabilities by counting favourable candies relative to the total shown in a jar.

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📝 Description

Candy Probability helps learners understand probability by observing outcomes from a colorful jar activity. It supports prediction, counting, fractions, likelihood, and probability reasoning.

📋 Instructions

Answer the questions based on the candies or balls shown in the jar. Use observation and counting to choose the correct probability answer.

🎓 Learning Guide: Candy Probability

Learning focus: Find probabilities by counting favourable candies relative to the total shown in a jar.

Mathematics Interactive learning companion

Learning objectives

  • Identify the sample space from the visible quantities.
  • Explain probability as favourable outcomes divided by possible equally likely outcomes.

Concepts and principles

  • If a jar contains equally selectable individual candies, P(selected color)=number of that color/total count.
  • Probability depends on the specified draw rule; replacement versus no replacement matters for multi-draw problems.

Examples and worked solutions

An illustrative jar has 3 red and 2 green candies. What is P(red)?
Worked solution: 3/(3+2)=3/5=0.6.

Guided practice

  1. Count each displayed colour before answering a question.
  2. Read whether the question describes one draw or multiple draws and whether replacement is specified.

Expected observations and explanations

  • If the candies are equally likely to be chosen, doubling every colour count preserves the single-draw probabilities.

Assessment questions and answers

Are two red draws automatically independent without replacement?
Answer: No. The composition changes after the first draw.

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