Probability | Mini Lesson
In this 20-minute mini lesson, Grade 12 students will review core probability ideas and connect them to computer science applications such as randomness in algorithms, simulations, and decision-making. Students will solve short practical examples and interpret probability as a tool for predicting outcomes, evaluating risk, and making informed computing choices.
| Term | Definition |
|---|---|
| Probability | A number from 0 to 1 that describes how likely an event is to occur. |
| Outcome | A possible result of an experiment or random process. |
| Sample Space | The set of all possible outcomes. |
| Favorable Outcome | An outcome that matches the event being considered. |
| Simulation | A computer-based model used to imitate a real or random process. |
Ask: Where do computers use randomness? Briefly guide students toward examples like game design, security, testing, and simulations.
Think-pair-share one example of randomness or uncertainty in a computer science setting.
Define probability, sample space, and favorable outcomes. Model one quick example: probability of getting a 1 on a fair six-sided die is 1/6.
Listen, take notes, and answer quick oral questions about outcomes and sample space.
Present a short scenario: a program randomly selects one of 4 avatars, 2 of which are red. Ask students to find the probability of selecting a red avatar. Then discuss how this could matter in design or testing.
Solve the problem individually, then compare answers with a partner and share reasoning.
Explain that computers can run repeated trials to estimate probability when exact calculation is hard. Ask students how a simulation could help estimate chance in a game or system.
Respond verbally or in one sentence on paper with a possible use of simulation.
Give an exit question: If a random generator chooses from 10 numbers and 3 are even, what is the probability of an even number? Check for correct setup and interpretation.
Complete the exit question independently and submit or share before leaving.
Summarize that probability helps computer scientists describe uncertainty, test systems, and make better design choices. Reiterate the key formula and ask students to remember that computers often use probability to model random events and estimate outcomes.
Formative assessment through guided practice responses and a one-question exit ticket assessing students' ability to calculate and interpret a simple probability problem.