WJEC Unit 2 Specimen — Question 1 6 marks

Exam BoardWJEC
ModuleUnit 2 (Unit 2)
SessionSpecimen
Marks6
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicProbability Definitions
TypeCombined event algebra
DifficultyModerate -0.8 This is a straightforward probability question testing basic definitions (mutually exclusive, independent, subset) with direct formula application. Part (a) uses P(A∪B)=P(A)+P(B), part (b) uses P(A∪B)=P(A)+P(B)-P(A)P(B), and part (c) immediately gives P(A∪B)=P(B). No problem-solving or insight required—pure recall and substitution into standard formulas, making it easier than average.
Spec2.03a Mutually exclusive and independent events

The events \(A, B\) are such that \(P(A) = 0.2, P(B) = 0.3\). Determine the value of \(P(A \cup B)\) when
  1. \(A,B\) are mutually exclusive, [2]
  2. \(A,B\) are independent, [3]
  3. \(A \subset B\). [1]

The events $A, B$ are such that $P(A) = 0.2, P(B) = 0.3$. Determine the value of $P(A \cup B)$ when

\begin{enumerate}[label=(\alph*)]
\item $A,B$ are mutually exclusive, [2]

\item $A,B$ are independent, [3]

\item $A \subset B$. [1]
\end{enumerate}

\hfill \mbox{\textit{WJEC Unit 2  Q1 [6]}}