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DM topic guide

Probability

Calculate single, combined and conditional outcomes.

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Probability

Calculate single, combined and conditional outcomes.

Methoda clear route through this question type
1

List the relevant outcomes.

2

Mark replacement and dependence.

3

Build each path.

4

Add valid paths.

5

Check the answer stays between 0 and 1.

How to spot it

What will the question look like?

Look for and, or, without replacement, given that and at least one.

Rules to remember

Keep these in view

  • AND usually means multiply along a path.
  • OR adds mutually exclusive routes.
  • Without replacement changes the next fraction.
  • At least one is often easiest with 1 minus none.
Common traps

What tends to pull students off course

  • Adding overlapping outcomes
  • Assuming independence
  • Reversing conditional probability
See it in action

Probability in context

From a bag with 3 red and 2 blue, two reds without replacement is 3/5 × 2/4 = 3/10.

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