Session 1 - Question and Plan

Question 1

Question

Answer 1

I want to investigate the probability distribution of…

Question 2

Plan - Prediction (2)

Answer 2

• State the most/least likely

- Justify based on theoretical probability

Question 3

Plan - Outcomes (1)

Answer 3

• State outcomes of dice

- If possible, state outcomes of the game

Question 4

Plan - Trials (4)

Answer 4

• 50 trials
• Draw fair conclusions
• Large enough number of repetitions to see patterns and trends
• Manageable for time given.

I plan to use 50 trials as it is enough for me to draw fair conclusions and is a large enough number of repetitions for me to see trends and patterns of my data. This number of trials is also manageable for the time given (it is not too time consuming).

Question 5

Plan - Steps for experiment (2)

Answer 5

• Plan for each trial: For each trial, I am going to…. and record the outcome on a frequency table (e.g……)
• Controlled variables (tools)/how to keep the trials fair (dice, table, technique):
  - List tools: number of 6 sided dice, desk
  - In each trial (what to do to keep fair): technique and dice.
  To keep this experiment fair, I am going to use (number) fair, 6 sided dice and a flat desk. I will use the same dice and rolling techniques in each trial. I will also make sure to roll the dice onto a flat surface (desk) so I can clearly see which side of the dice is facing up. If the dice falls off the desk, I will re-roll the die.

Question 6

Plan - Display (4)

Answer 6

• Frequency table.
• Two way table/probability tree
• Table to compare experimental and theoretical probability
• Bar graph for both experimental and theoretical, to compare the shape of the two pieces of data.

First, my experimental results will be recorded on a frequency table. Then I will use a ________ to calculate the theoretical probability. With this information, I will form a table to compare the experimental and theoretical probability. Lastly, I will draw two bar graphs for both experimental and theoretical probability to compare the shape of the two pieces of data.