Two-step experiments
A standard method from Probability: the steps.
Steps
- Table when both steps have the same outcomes (two dice): fill a 6 × 6 grid and count.
- Tree diagram otherwise:
- One set of branches per step. Write the probability on each branch.
- Multiply along a path.
- Add the paths that give the event.
- Without replacement: on the second step, the total goes down by 1, and so does the count of whatever was taken.
For the whole topic, read Probability: key points, common mistakes and how the DSE tests it.