Follow up with investigation of how you arrive
at theoretical probability by generating a table of outcomes for the coin - tossing task.
A worksheet where pupils need to calculate
theoretical probabilities of events involving dice and then carry out the experiments and compare this to their experimental probabilities.
Aimed at KS4, this task uses the context of the National Lottery to look at
theoretical probabilities whilst considering the differences with experimental data.
The student will investigate and describe the difference between the experimental probability and
theoretical probability of an event
Students quickly make the visual connection between
the theoretical probability of rolling two six - sided dice many times and the experimental probability of the same event through rolling the dice in the game and recording them in the frequency chart.
- KS4 Statistics Labels - Relative Frequency and
Theoretical Probability - How to get from a Grade D to a Grade CThis great resource will help you, your students, school managers, and classroom visitors determine where each student is in this part of the Maths curriculum and what needs to be done to get to the next level.
Moving on to
theoretical probability, pupils must draw tree diagrams to show which dice will win.
Prof du Sautoy shows through experimental and
theoretical probability that the contestant gains a distinct advantage by changing their selection - something that foxed many Mathematicians.
Find the number of outcomes,
theoretical probability, and odds of events involving coins, dice, and cards
Spreadsheet simulating the throwing of three dice and displays a bar chart comparing relative frequency to
theoretical probability.
I used this with a year 8 class to introduce experimental and
theoretical probability.
A nice lesson for experimental probability using M&M s. Students are able to collect data in a fun way and compare the results to
theoretical probability.
PowerPoint and worksheet on comparing experimental probability and
theoretical probability.
Most students should be able to calculate
a theoretical probability using a sample space diagram.
Conduct a probability experiment to compare
the theoretical probability (determined using a tree diagram, table, or another graphic organizer) and experimental probability of two independent events.