| Exam Board | Edexcel |
|---|---|
| Module | S2 (Statistics 2) |
| Year | 2006 |
| Session | January |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Binomial Distribution |
| Type | Geometric distribution (first success) |
| Difficulty | Easy -1.3 This is a straightforward S2 question testing basic binomial probability calculations and geometric distribution concepts. Part (a) requires simple binomial coefficient calculation, part (b) is trivial probability addition, and part (c) is a direct application of geometric distribution formula with no problem-solving required—all are routine textbook exercises below average A-level difficulty. |
| Spec | 2.04b Binomial distribution: as model B(n,p)2.04c Calculate binomial probabilities |
\begin{enumerate}
\item A fair coin is tossed 4 times.
\end{enumerate}
Find the probability that\\
(a) an equal number of head and tails occur\\
(b) all the outcomes are the same,\\
(c) the first tail occurs on the third throw.\\
\hfill \mbox{\textit{Edexcel S2 2006 Q1 [7]}}