#2.03a
Understand and be able to use mutually exclusive and independent events when calculating probabilities.
Includes understanding and being able to use the notation:
\(P(A)\), \(P(A')\), \(P(X = 2)\), \(P(X = x)\).
Includes linking their knowledge of probability to probability distributions.
#2.03b
Be able to use appropriate diagrams to assist in the calculation of probabilities.
Includes tree diagrams, sample space diagrams, Venn diagrams.
#2.03c
Understand and be able to use conditional probability, including the use of tree diagrams, Venn diagrams and two-way tables.
Includes understanding and being able to use the notations:
\(A∩B\), \(A∪B\), \(A|B\).
Includes understanding and being able to use the formulae:
\(P(A∩B) = P(A) × P(B|A)\),
\(P(A∪B) = P(A) + P(B) - P(A∩B)\).
#2.03d
Understand the concept of conditional probability, and calculate it from first principles in given contexts.
Includes understanding and being able to use the conditional probability formula:
\(P(A|B) = \dfrac{P(A∩B)}{P(B)} \).
[Use of this formula to find \(P(A|B)\) from \(P(B|A)\) is excluded.]
#2.03e
Be able to model with probability, including critiquing assumptions made and the likely effect of more realistic assumptions.