Content:
MA4-PRO-C-01
Determine probabilities for chance experiments
- List the sample space for chance experiments
- Express the probability of an event, which has a finite number of equally likely outcomes, as \( P(event)=\frac{number\ of\ favourable\ outcomes}{total\ number\ of\ outcomes} \)
- Recognise that probabilities range from 0 (impossible) to 1 (certain) and that equally likely outcomes have equal probabilities
- Verify that the total of the probabilities of all possible outcomes of an event is 1
- Identify and describe theoretical (expected) probabilities as being the likelihood of outcomes occurring under fair or unbiased conditions
- Explain that observed probability is the relative frequency resulting from repeated trials of a simulation and determine observed probabilities
- Explore relative frequencies by using a random number generator to repeat a chance experiment a number of times
Determine probabilities for complementary events
- Identify and describe the complement of an event
- Verify that the sum of the probability of an event and its complement is a total of 1
- Solve problems involving the probability of complementary events
- Represent the possible outcomes for complementary events in various forms
