Grade 11 Probability - Hard
A hard grade 11 worksheet for Probability.
Worksheet snapshot
- Probability
- Key concepts: Understanding core probability concepts for Grade 11; Applying probability strategies appropriate to Grade 11
- Students master probability at Grade 11 level, working with challenging problems, explaining their reasoning, and applying concepts to new situations.
- Apply it: Probability at the Grade 11 level connects to everyday situations students encounter: problem-solving in daily life, making sense of quantities and relationships, and building mathematical literacy for future learning.
- In a group of 52 students, 27 play soccer and 14 play both soccer and piano. Find P(piano | soccer).
- Compute the number of combinations C(7, 7).
- Compute the number of combinations C(6, 2).
About Probability
Probability measures the likelihood of events occurring. Students learn to calculate probabilities, work with combinations and permutations, and understand probability distributions.
Probability is fundamental to statistics, decision-making, risk assessment, game theory, and understanding uncertainty. It's essential for informed citizenship in a data-driven world.
Probability & Counting
Compute theoretical/experimental probability, use permutations/combinations, and solve compound/conditional events with expected value.
This hard level worksheet:
Conditional probability and multi-step events; expected value; choose appropriate counting strategies for complex situations.
Key Concepts
- Sample spaces and counting methods
- Independent/dependent and conditional probability
- Permutations, combinations, expected value
Prerequisite skills
Fraction/decimal operations; basic counting rules; proportional reasoning.
Teaching Strategies
Use tree diagrams/tables/simulations; stress when order matters; connect probabilities to expected value in games/decisions.
Assessment ideas
Test basic probability calculation. Include compound events (AND, OR). Ask students to calculate permutations and combinations. Use real contexts (games, medical testing, quality control).
Common Challenges
Confusing independent vs. dependent; order/no-order mix-ups; arithmetic slips in combos/perms.
Real-World Applications
Games of chance, risk analysis, genetics, quality control.
Extension Activities
Design and run a simulation; solve one problem two ways (counting vs. formula); compute expected value in a real or game context.
Parent Tips
When discussing chances/odds, ask whether events affect each other and whether order matters.