- MA4-PRO-C-01 solves problems involving the probabilities of simple chance experiments
📖 Prior Knowledge
| Content | Prerequisite relationships |
|---|---|
| Chance A | - List equally likely outcomes → List the sample space - Represent probabilities as fractions → Calculate theoretical probability - Establish that probabilities sum to 1 → Understand the range of probabilities |
| Chance B | - Compare probabilities over many trials → Determine observed probability |
| Fractions Decimals Percentages | - Add and subtract fractions and mixed numbers → Find probabilities of complementary events - Solve problems with fractions and decimals of quantities → Calculate expected frequency |
Determine probabilities for chance experiments.pdf
- List the sample space for chance experiments
- Express the probability of an event, which has a finite number of equally likely outcomes, as
- 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.pdf
- 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