AQA Certificate Level 3 Mathematical Studies₁₃₅₀

R4.1

understanding that uncertain outcomes can be modelled as random events with estimated probabilities

knowing that the probabilities of an exhaustive set of outcomes sum to one

R4.2

applying ideas of randomness, fairness and equally likely events to calculate expected outcomes

R5.1

understanding and applying Venn diagrams and simple tree diagrams

• understanding that $\mathrm{P}\mathsf{\left(}\mathit{A}\mathsf{\right)}$ means the probability of event $\mathit{A}$
• understanding that $\mathrm{P}\mathsf{\left(}{\mathit{A}}^{\mathsf{\prime }}\mathsf{\right)}$ means the probability of not event $\mathit{A}$
• understanding that $\mathrm{P}\mathsf{(}\mathit{A}\mathrm{\cup }\mathit{B}\mathsf{)}$ means the probability of event $\mathit{A}$ or $\mathit{B}$ or both
• understanding that $\mathrm{P}\mathsf{(}\mathit{A}\mathrm{\cap }\mathit{B}\mathsf{)}$ means the probability of event $\mathit{A}$ and $\mathit{B}$

R6.1

calculating the probability of combined events:

• both $\mathit{A}$ and $\mathit{B}$ ;
• neither $\mathit{A}$ nor $\mathit{B}$ ;
• either $\mathit{A}$ or $\mathit{B}$ (or both)

to include independent and dependent events

R7.1

calculating the expected value of quantities such as financial loss or gain