Exploring Probability: Coins and Dice
Grade 7 Mathematics Introduction to Probability Concepts
What is Probability?
Probability tells us how likely something is to happen It's expressed as a number between 0 and 1 0 means impossible, 1 means certain We use fractions, decimals, or percentages
Key Probability Vocabulary
Certain: Will definitely happen (probability = 1) Likely: Good chance of happening (probability > 0.5) Unlikely: Small chance of happening (probability < 0.5) Impossible: Cannot happen (probability = 0) Sample Space: All possible outcomes Event: One or more specific outcomes
Coin Toss Exploration
Take out your coins Toss one coin 10 times and record results What are all possible outcomes? Sample Space: {Heads, Tails} What's the probability of getting heads?
Comparing Coin and Dice Outcomes
{"left":"Coin Sample Space: {H, T}\n2 possible outcomes\nP(Heads) = 1/2 = 0.5","right":"Die Sample Space: {1, 2, 3, 4, 5, 6}\n6 possible outcomes\nP(rolling a 3) = 1/6 ≈ 0.17"}
Dice Rolling Challenge
Roll your die 12 times Record each outcome Calculate: How many times did you roll an even number? What's the probability of rolling even? Sample Space for even: {2, 4, 6} P(even) = 3/6 = 1/2
Quick Check: Classify These Events
Rolling a 7 on a standard die Getting at least one head with two coins The sun rising tomorrow Rolling an odd number on a die
Key Takeaways
Probability is always between 0 and 1 Sample space includes ALL possible outcomes We can express probability as fractions or decimals Experiments help us test theoretical predictions Vocabulary helps us describe likelihood accurately