Permutations & Combinations
Directions: Using a spinner, conduct an experiment to compare experimental probability with theoretical probability.
Using a spinner you construct or a digital spinner, complete the following steps; write the probabilities as a fraction and a percentage.
- What is the theoretical probability of spinning yellow?
- What is the theoretical probability of spinning red or yellow?
- Spin the spinner 20 times, create a table to display the results. What is the experimental probability of spinning yellow?
- Perform another 20 spins, and record them. What is the new experimental probability of spinning yellow?
- What is the experimental probability of spinning red or yellow?
Directions: Play a simple game of chance using a real die. Go to Mathwire.com and choose one of the seven dice games to play. Play the game three times, keeping a record sheet of the rolls and of successes, then answer the following questions.
|Roll||Player 1||Player 2|
- Using the data that was collected, determine the experimental probability of each outcome of the die over the course of the three games, and write as a fraction, decimal, and a percentage.
- Do you think dice games are fair?
- What conclusions do you draw now that you have collected data on a dice game?