M1Maths |
ProbabilityLevel 1 Level 2 Level 3 Level 4 . . . . . Level 6 Level 1 is Years 5-7, Level 6 Years 11-12. Many textbooks treat probability very poorly. One common error is to define probability as the number of outcomes in the event divided by the number of outcomes in the sample space. This depends on the probability of all outcomes in the sample space being equal, something often not mentioned. The definition is also circular in that the definition of probability depends on the idea that the probabilities of the outcomes are equal and thus on knowing what probability means. A more appropriate definition of probability is the fraction of times that something will happen in the long run and this is the way it is introduced here. Probabilities can be determined using data, symmetry or guesswork, guesswork being required for untestable and unrepeatable events like finding there is an afterlife if you die. By the end of the course, student will be able to do all the usual calculations, but will have a more solidly grounded concept of what it is all about. |
P1: Probability - Level 1 Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 1 modules. |
P1-1 | pdf docx | Probability |
| 8 h | N1-3 |
P2: Probability - Level 2 Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 2 modules. |
P2-1 | pdf docx | Compound Events |
| 5 h | |
P2-2 | pdf docx | Two-way Tables |
| 1 h | P2-1 |
P2-3 | pdf docx | Venn Diagrams |
| 3 h |
P3: Probability - Level 3 Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 3 modules. |
P3-1 | pdf docx | Tree Diagrams |
| 3 h |
P4: Probability - Level 4 Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 4 modules. |
P4-1 | pdf docx | Complex Probabilities |
| 4 h |
P6: Probability - Level 6 Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 6 modules. |
P6-1 | pdf docx | Sets |
| 2 h | |
P6-2 | pdf docx | Conditional Probability |
| 3 h | |
P6-3 | pdf docx | Discrete Random Variables |
| 5 h | |
P6-4 | pdf docx | Binomial Distributions |
| 5 h | P6-3 A6-1 |
P6-5 | pdf docx | Continuous Random Variables |
| 5 h | P6-3 C6-10 |
P6-6 | pdf docx | Normal Distributions |
| 5 h | P6-5 |
P6-7 | pdf docx | Confidence Intervals for Proportions |
| 4 h | P6-4 |
P6-8 | pdf docx | Confidence Intervals for Means |
| 3 h | P6-7 |
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