Session 3: Practice Activities
Time to Practice!
6 activities to reinforce what you learned. Try them all!
Difficulty levels: Easy Medium Challenge
1 Coin Flip Experiment Easy Activity
Flip a coin 10 times, 30 times, and 60 times. Record heads/tails each time. Calculate the experimental probability at each stage. Does it get closer to 50%?
2 Dice Roll Experiment Easy Activity
Roll a die 36 times. Record each result. Calculate experimental probability for each number. The theoretical is 1/6 (~16.7%). How close are your results?
3 Convergence Graph Medium Activity
Using your coin flip data, create a line graph showing the running percentage of heads after every 10 flips. Watch the line converge toward 50%. This IS the law of large numbers in action.
4 Small Sample Trap Medium Discussion
A new restaurant has 5 reviews: 5 stars, 5 stars, 1 star, 5 stars, 5 stars. Average: 4.2. Another restaurant has 200 reviews averaging 4.0. Which would you trust more? Why?
5 Sports Probability Medium Research
Pick a sports team. Look up their win/loss record for the last 2 seasons. Calculate their win probability. Then look at a 5-game stretch where they won 4. Is this streak meaningful or expected variation?
6 Design a Convergence Experiment Challenge Critical Thinking
Design an experiment to test the law of large numbers with something other than coins or dice (spinner, cards, random number generator). Run it at 3 different sample sizes. Graph the convergence. Write a report on your findings.