King Charles 1 Mathematics Knowledge Organiser
Tree Diagrams:
Tree diagrams:
Content:
Tree diagrams help us to answer what can seem like complex probability problems. They
let us systematically list all the possible outcomes of a set of events and then work out the
probability of each case happening. See Example 1:
Example 1:
Example 2:
“at least” Questions:
When a question asks you to find the probability of “at least” so many events happening
you can speed up the process by doing: 1 − 𝑃(𝑙𝑒𝑠𝑠 𝑡ℎ𝑎𝑛 at least so many events
happen). See Example 2:
Conditional Probability and Tree diagrams:
Watch out for conditional probability and tree diagrams. The denominator of your
fractions will change depending on the previous event!! For an example look at the
dependent probability knowledge organiser.
Linked Prior Topics: Fractions, decimals,
percentages, Venn diagrams, listing
outcomes, multiplicative reasoning,
collecting data, testing hypotheses.
Vocabulary: Probability, event, outcome, result,
likelihood, chance, impossible, certain, fraction,
decimal, percentage, theoretical, expected,
experimental, trials, mutually exclusive,
conditional.
Linked Future Topics: Tree diagrams,
replacement, conditional,
independent and dependent events,
sets, Venn diagrams.