A-Level Maths OCR A H240

2.03: Probability

#2.03a

Mutually exclusive and independent events

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(A)P(A'), P(X=2)P(X = 2), P(X=x)P(X = x).

Includes linking their knowledge of probability to probability distributions.

#2.03b

Use diagrams in probability

Be able to use appropriate diagrams to assist in the calculation of probabilities.

Includes tree diagrams, sample space diagrams, Venn diagrams.

#2.03c

Conditional probability

Understand and be able to use conditional probability, including the use of tree diagrams, Venn diagrams and two-way tables.

iIncludes understanding and being able to use the notations:

ABA∩B, ABA∪B, ABA|B.

Includes understanding and being able to use the formulae:

P(AB)=P(A)×P(BA)P(A∩B) = P(A) × P(B|A), P(AB)=P(A)+P(B)P(AB)P(A∪B) = P(A) + P(B) - P(A∩B).

#2.03d

Conditional probability formula

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(AB)=P(AB)P(B)P(A|B) = \dfrac{P(A∩B)}{P(B)} .

Use of this formula to find P(AB)P(A|B) from P(BA)P(B|A) is excluded.

#2.03e

Use probability in modelling

Be able to model with probability, including critiquing assumptions made and the likely effect of more realistic assumptions.

2.02
Data presentation and interpretation
2.04
Statistical distributions