- MST-12-S2-09 models and solves problems involving the probabilities of multistage events
đ Prior Knowledge
| Content | Prior knowledge | Used for |
|---|---|---|
| Probability | - basic probability - relative frequency | - repeated content |
| Probability A | - multistage probability | - repeated content |
| Probability B | - Venn diagrams and two-way tables | - repeated content |
Relative frequency and probability
- Recognise that probabilities range from 0 (impossible) to 1 (certain) and can be represented as fractions, decimals and percentages
- Identify and define the sample space as the set of all possible outcomes of a chance experiment
- Determine the number of outcomes for an experiment
- Express the probability of an event that has a finite number of equally likely outcomes, as
- Apply to calculate the probability of the complement of an event
- Construct and use arrays, tree diagrams and probability trees to determine the outcomes and probabilities for multistage events
- Determine the probabilities of outcomes for multistage events using
- Use relative frequency as an estimate of probability
- Recognise that increasing the number of trials produces relative frequencies that become closer in value to the theoretical probability
- Calculate the expected frequency of an event occurring using np where n is the number of times an experiment is repeated, and p is the probability that the event occurs on each of those times
- Construct and interpret Venn diagrams and two-way tables from given information, limited to combinations of two attributes, and use them to solve problems in a variety of contexts
- Examine the use of statistics and the associated probabilities in shaping decisions made by the media, governments and companies