Carnival Game Probability Challenge
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Carnival Game Probability Challenge
🎯 Portfolio Task 1: Which Carnival Game Should I Choose?
Your Mission: Calculate probabilities for three carnival games and decide which gives you the best chance of winning!
📖 Read-Aloud Checklist (tick if needed):
Please read questions aloud to me📚 Worked Example
Game Example: Roll a standard die and win if you get a 1 or 2.
Step 1: Probability as fraction = Favourable outcomes ÷ Total outcomes = 2/6 = 1/3
Step 2: Convert to decimal = 1 ÷ 3 = 0.333...
Step 3: Convert to percentage = 0.333... × 100 = 33.3%
Probability Formula: P(event) = Number of favourable outcomes ÷ Total number of possible outcomes
Conversion Reminder: Fraction → Decimal (divide) → Percentage (× 100)
🎪 Calculate Game Probabilities
Game A: Lucky Spinner
Rules: Spin a wheel with 8 equal sections (numbered 1-8). Win if you land on 3, 6, or 8.
Game B: Card Draw
Rules: Draw one card from a standard deck (52 cards). Win if you draw any King or Queen.
Game C: Double Dice
Rules: Roll two standard dice. Win if the sum equals 7 or 11.
Hint: List all ways to make 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). List all ways to make 11.
🏆 Final Decision
Game A: Fraction: _____ Decimal: _____ Percentage: _____
Game B: Fraction: _____ Decimal: _____ Percentage: _____
Game C: Fraction: _____ Decimal: _____ Percentage: _____
Ranking (1st, 2nd, 3rd): Game ___ , Game ___ , Game ___
🌟 Extension Challenge (Advanced Learners)
Teacher Answer Key:
Game A: 3/8 = 0.375 = 37.5%
Game B: 8/52 = 2/13 ≈ 0.154 = 15.4%
Game C: 8/36 = 2/9 ≈ 0.222 = 22.2%
Ranking: Game A (37.5%), Game C (22.2%), Game B (15.4%)
Best Choice: Game A - Lucky Spinner has the highest probability of winning
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