| Exam Board | Edexcel |
|---|---|
| Module | S1 (Statistics 1) |
| Year | 2002 |
| Session | November |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Independent Events |
| Type | Calculate probabilities using independence |
| Difficulty | Moderate -0.8 This is a straightforward application of standard probability formulas for independent events. Part (a) uses P(A∩B)=P(A)P(B), part (b) applies the addition rule, and part (c) requires recognizing that independence means P(A|B')=P(A). All three parts are direct formula applications with no problem-solving or insight required, making this easier than average but not trivial due to the multi-part structure and the slight conceptual check in part (c). |
| Spec | 2.03a Mutually exclusive and independent events2.03d Calculate conditional probability: from first principles |
The events $A$ and $B$ are independent such that $P(A) = 0.25$ and $P(B) = 0.30$.
Find
\begin{enumerate}[label=(\alph*)]
\item $P(A \cap B)$, [2]
\item $P(A \cup B)$, [2]
\item $P(A | B')$. [4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel S1 2002 Q3 [8]}}