I can:
Calculate experimental probabilities
Calculate theoretical probabilities
Convert between fractions, decimals, and percentages
Round to appropriate decimal places
Use technology to create a bar graph
Draw and use a tree diagram to calculate probabilities
Create and use a two-way table to calculate probabilities
Identify and calculate conditional probabilities
Follow the PPDAC cycle for a probability investigation
I understand:
Probabilities range from 0 to 1
All probabilities in the same group add up to 1
The true probability is unknown
Theoretical probability uses assumptions
Experimental probability means repeating an experiment many times to find real-life results
Random data is unbiased and unpredictable
Due to random variation, experiments may give different results
Random variation reduces as you increase the number of trials leading to a better estimate of true probability
Vocabulary
Sample Space: The list of all the things that could happen in a probability experiment.
Outcome/Event: The result of a single attempt, like when you toss a coin and it lands on heads.
Trial: One time you carry out a probability experiment, such as flipping a coin once.
Sample Size: The total number of trials or pieces of information you gather from your experiment.
Experiment: Conducting a test to find out how likely something is to happen.
Frequency: How many times something occurs during the experiment.
Relative Frequency: The frequency of an event divided by the total number of trials.
Expected Number: A guess of how many times something that fits a specific condition will happen, like estimating how many heads you’ll get in 10 coin flips.
Conditional Probability: The chance of an event happening when you already know something else, which can make the chance seem bigger.
Simulation: A way to run a probability experiment using technology, like a computer program, to do it more quickly.
Complement: Everything that is not a specific event. Complementary events together equal 1, and you can show the complement of an event with ‘ not’, for example, the complement of event A is not A.
Margin of Error: The range within which a result could vary from one experiment to another.
Random Variable: Something that changes randomly among fixed outcomes, like how a coin toss can land on either heads or tails.